91:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096354:0.100402:0.100390:0.100402:0.100390:0.084013:0.096354:0.084013:0.000000
Al resolver por eliminación gaussiana, tenemos::@0.120098:0.100402:0.467234:0.100402:0.467234:0.084013:0.120098:0.084013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.128280:0.134361:0.133170:0.134361:0.138700:0.117760:0.133810:0.117760:0.000000
1:@0.135290:0.136418:0.140569:0.136418:0.140569:0.126797:0.135290:0.126797:0.000000
f:@0.127166:0.156051:0.132056:0.156051:0.137586:0.139450:0.132696:0.139450:0.000000
2:@0.134866:0.158107:0.140145:0.158107:0.140145:0.148487:0.134866:0.148487:0.000000
1 1:@0.170341:0.137890:0.203528:0.137890:0.203528:0.121290:0.170341:0.121290:0.000000:0.000000:0.000000
2 1:@0.169557:0.156073:0.203528:0.156073:0.203528:0.139473:0.169557:0.139473:0.000000:0.000000:0.000000
116:@0.224798:0.137890:0.251713:0.137890:0.251713:0.121290:0.224798:0.121290:0.000000:0.000000:0.000000
200:@0.225377:0.156073:0.252292:0.156073:0.252292:0.139473:0.225377:0.139473:0.000000:0.000000:0.000000
;:@0.270879:0.145054:0.274127:0.145054:0.274127:0.128454:0.270879:0.128454:0.000000
f:@0.273255:0.145027:0.278146:0.145027:0.283675:0.128426:0.278785:0.128426:0.000000
2:@0.280954:0.147083:0.286232:0.147083:0.286232:0.137463:0.280954:0.137463:0.000000
f:@0.308995:0.145027:0.313885:0.145027:0.319415:0.128426:0.314524:0.128426:0.000000
2:@0.316693:0.147083:0.321972:0.147083:0.321972:0.137463:0.316693:0.137463:0.000000
2:@0.337533:0.145054:0.346642:0.145054:0.346642:0.128454:0.337533:0.128454:0.000000
f:@0.344416:0.145027:0.349306:0.145027:0.354836:0.128426:0.349946:0.128426:0.000000
1:@0.351426:0.147083:0.356705:0.147083:0.356705:0.137463:0.351426:0.137463:0.000000
1:@0.375765:0.137890:0.384874:0.137890:0.384874:0.121290:0.375765:0.121290:0.000000
1:@0.405611:0.137890:0.414720:0.137890:0.414720:0.121290:0.405611:0.121290:0.000000
0:@0.374757:0.156073:0.383866:0.156073:0.383866:0.139473:0.374757:0.139473:0.000000
1:@0.411239:0.156078:0.420347:0.156078:0.420347:0.139478:0.411239:0.139478:0.000000
116:@0.442048:0.137890:0.468963:0.137890:0.468963:0.121290:0.442048:0.121290:0.000000:0.000000:0.000000
32:@0.452282:0.156078:0.470294:0.156078:0.470294:0.139478:0.452282:0.139478:0.000000:0.000000
 :@0.096359:0.191444:0.100395:0.191444:0.100395:0.175055:0.096359:0.175055:0.000000
Al multiplicar la fila 2 por –1, obtendremos:   = 32. :@0.120103:0.191444:0.488591:0.191444:0.488591:0.175055:0.120103:0.175055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.437941:0.191444:0.445423:0.191444:0.445423:0.176051:0.437941:0.176051:0.000000
 :@0.096359:0.215163:0.100395:0.215163:0.100395:0.198774:0.096359:0.198774:0.000000
Al reemplazar ese valor en la primera ecuación, hallaremos el valor de  .:@0.120103:0.215163:0.640735:0.215163:0.640735:0.198774:0.120103:0.198774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.630066:0.215163:0.637529:0.215163:0.637529:0.199770:0.630066:0.199770:0.000000
x:@0.120103:0.238882:0.127566:0.238882:0.127566:0.223489:0.120103:0.223489:0.000000
 + 32 = 116;   = 84.:@0.127373:0.238882:0.261895:0.238882:0.261895:0.222493:0.127373:0.222493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.215291:0.238882:0.222754:0.238882:0.222754:0.223489:0.215291:0.223489:0.000000
Solución.:@0.120103:0.262601:0.187769:0.262601:0.187769:0.245963:0.120103:0.245963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen 84 habitaciones dobles y 32 habitaciones simples.:@0.191077:0.262601:0.611227:0.262601:0.611227:0.246212:0.191077:0.246212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.096359:0.293457:0.112575:0.293457:0.112575:0.276556:0.096359:0.276556:0.000000:0.000000
En la finca de Mateo hay vacas y gallinas. En total, se contabilizaron 20 cabezas y :@0.120094:0.293457:0.716630:0.293457:0.716630:0.277068:0.120094:0.277068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64 patas. ¿Cuántas vacas y gallinas hay en la finca de Mateo?:@0.120094:0.310053:0.560360:0.310053:0.560360:0.293664:0.120094:0.293664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.333772:0.100395:0.333772:0.100395:0.317383:0.096359:0.317383:0.000000
Identificamos las variables:   = vacas,   = gallinas. :@0.120103:0.333772:0.480690:0.333772:0.480690:0.317383:0.120103:0.317383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.318235:0.333772:0.325698:0.333772:0.325698:0.318379:0.318235:0.318379:0.000000
y:@0.391944:0.333772:0.399426:0.333772:0.399426:0.318379:0.391944:0.318379:0.000000
 :@0.096359:0.357491:0.100395:0.357491:0.100395:0.341102:0.096359:0.341102:0.000000
Organizamos los datos en una tabla.:@0.120103:0.357491:0.385387:0.357491:0.385387:0.341102:0.120103:0.341102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096359:0.442852:0.104430:0.442852:0.104430:0.426463:0.096359:0.426463:0.000000:0.000000
 Vacas ( ):@0.289579:0.385306:0.355297:0.385306:0.355297:0.369942:0.289579:0.369942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.341912:0.385306:0.350255:0.385306:0.350255:0.369753:0.341912:0.369753:0.000000
Gallinas ( ):@0.416563:0.385306:0.490692:0.385306:0.490692:0.369942:0.416563:0.369942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.477826:0.385306:0.486152:0.385306:0.486152:0.369753:0.477826:0.369753:0.000000
Total:@0.593217:0.385306:0.628866:0.385306:0.628866:0.369942:0.593217:0.369942:0.000000:0.000000:0.000000:0.000000:0.000000
Núm. cabezas:@0.148692:0.408063:0.241634:0.408063:0.241634:0.393164:0.148692:0.393164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.319047:0.408063:0.325832:0.408063:0.325832:0.394070:0.319047:0.394070:0.000000
y:@0.450218:0.408063:0.457020:0.408063:0.457020:0.394070:0.450218:0.394070:0.000000
 20:@0.601023:0.408063:0.621042:0.408063:0.621042:0.393164:0.601023:0.393164:0.000000:0.000000:0.000000
Núm. patas:@0.157269:0.434077:0.233040:0.434077:0.233040:0.419178:0.157269:0.419178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.314959:0.434077:0.323134:0.434077:0.323134:0.419178:0.314959:0.419178:0.000000
x:@0.323134:0.434077:0.329919:0.434077:0.329919:0.420083:0.323134:0.420083:0.000000
2:@0.446131:0.434077:0.454306:0.434077:0.454306:0.419178:0.446131:0.419178:0.000000
y:@0.454306:0.434077:0.461107:0.434077:0.461107:0.420083:0.454306:0.420083:0.000000
 64:@0.601023:0.434077:0.621042:0.434077:0.621042:0.419178:0.601023:0.419178:0.000000:0.000000:0.000000
 :@0.096359:0.466594:0.100395:0.466594:0.100395:0.450206:0.096359:0.450206:0.000000
El sistema de ecuaciones es::@0.120103:0.466594:0.325109:0.466594:0.325109:0.450206:0.120103:0.450206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096359:0.514088:0.104430:0.514088:0.104430:0.497699:0.096359:0.497699:0.000000:0.000000
x:@0.125957:0.492173:0.133863:0.492173:0.138667:0.475784:0.130761:0.475784:0.000000
y:@0.152806:0.492173:0.160914:0.492173:0.165718:0.475784:0.157610:0.475784:0.000000
x:@0.136221:0.512923:0.144127:0.512923:0.148931:0.496535:0.141025:0.496535:0.000000
y:@0.171878:0.512923:0.179987:0.512923:0.184791:0.496535:0.176683:0.496535:0.000000
x:@0.425719:0.492173:0.433625:0.492173:0.438429:0.475784:0.430524:0.475784:0.000000
y:@0.452568:0.492173:0.460676:0.492173:0.465480:0.475784:0.457372:0.475784:0.000000
x:@0.434518:0.512923:0.442423:0.512923:0.447227:0.496535:0.439322:0.496535:0.000000
y:@0.461367:0.512923:0.469475:0.512923:0.474279:0.496535:0.466171:0.496535:0.000000
20:@0.181399:0.492223:0.199182:0.492223:0.199182:0.475834:0.181399:0.475834:0.000000:0.000000
4:@0.127321:0.512969:0.136313:0.512969:0.136313:0.496580:0.127321:0.496580:0.000000
2:@0.162978:0.512969:0.171971:0.512969:0.171971:0.496580:0.162978:0.496580:0.000000
64:@0.200829:0.512969:0.218611:0.512969:0.218611:0.496580:0.200829:0.496580:0.000000:0.000000
;elsistema equivalente es::@0.220675:0.502873:0.410940:0.502873:0.410940:0.486484:0.220675:0.486484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.481162:0.492223:0.498944:0.492223:0.498944:0.475834:0.481162:0.475834:0.000000:0.000000
2:@0.426358:0.512969:0.435350:0.512969:0.435350:0.496580:0.426358:0.496580:0.000000
32:@0.489970:0.512969:0.507744:0.512969:0.507744:0.496580:0.489970:0.496580:0.000000:0.000000
+=:@0.139833:0.492901:0.178107:0.492901:0.178107:0.477328:0.139833:0.477328:0.000000:0.000000
+:@0.150094:0.513646:0.160211:0.513646:0.160211:0.498074:0.150094:0.498074:0.000000
=:@0.187060:0.513646:0.197177:0.513646:0.197177:0.498074:0.187060:0.498074:0.000000
+=:@0.439595:0.492901:0.477870:0.492901:0.477870:0.477328:0.439595:0.477328:0.000000:0.000000
+=:@0.448390:0.513646:0.486665:0.513646:0.486665:0.498074:0.448390:0.498074:0.000000:0.000000
 :@0.096359:0.541376:0.100395:0.541376:0.100395:0.524987:0.096359:0.524987:0.000000
Para resolver el sistema, utilizaremos el método de Cramer::@0.120103:0.541376:0.549388:0.541376:0.549388:0.524987:0.120103:0.524987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.120103:0.565095:0.125687:0.565095:0.125687:0.548195:0.120103:0.548195:0.000000
Hallamos el determinante del sistema  .:@0.156673:0.565095:0.450538:0.565095:0.450538:0.548706:0.156673:0.548706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.430063:0.564680:0.441341:0.564680:0.441341:0.547738:0.430063:0.547738:0.000000
s:@0.441140:0.565095:0.447516:0.565095:0.447516:0.549702:0.441140:0.549702:0.000000
=:@0.180706:0.598421:0.190725:0.598421:0.190725:0.580574:0.180706:0.580574:0.000000
= −=:@0.253194:0.598421:0.308820:0.598421:0.308820:0.580574:0.253194:0.580574:0.000000:0.000000:0.000000:0.000000
11:@0.207661:0.590408:0.240109:0.590408:0.240109:0.574178:0.207661:0.574178:0.000000:0.000000
21:@0.206876:0.608201:0.240091:0.608201:0.240091:0.591970:0.206876:0.591970:0.000000:0.000000
12 –1:@0.265714:0.597832:0.330866:0.597832:0.330866:0.581601:0.265714:0.581601:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.169425:0.596594:0.176232:0.596594:0.181639:0.580363:0.174831:0.580363:0.000000
•:@0.120103:0.632564:0.125687:0.632564:0.125687:0.615664:0.120103:0.615664:0.000000
Hallamos los determinantes :@0.156673:0.632564:0.363685:0.632564:0.363685:0.616176:0.156673:0.616176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.363685:0.632150:0.374963:0.632150:0.374963:0.615207:0.363685:0.615207:0.000000
x:@0.374782:0.632564:0.382245:0.632564:0.382245:0.617171:0.374782:0.617171:0.000000
 y :@0.382245:0.632564:0.398425:0.632564:0.398425:0.616176:0.382245:0.616176:0.000000:0.000000:0.000000
∆:@0.398425:0.632150:0.409703:0.632150:0.409703:0.615207:0.398425:0.615207:0.000000
y:@0.409518:0.632564:0.417000:0.632564:0.417000:0.617171:0.409518:0.617171:0.000000
.:@0.417000:0.632564:0.420206:0.632564:0.420206:0.616176:0.417000:0.616176:0.000000
Determinante:@0.163369:0.664988:0.270431:0.664988:0.270431:0.648364:0.163369:0.648364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.274469:0.664573:0.285746:0.664573:0.285746:0.647631:0.274469:0.647631:0.000000
x:@0.285562:0.664988:0.293025:0.664988:0.293025:0.649595:0.285562:0.649595:0.000000
Δ:@0.166406:0.695812:0.176658:0.695812:0.176658:0.681655:0.166406:0.681655:0.000000
x:@0.176507:0.695196:0.183292:0.695196:0.183292:0.680322:0.176507:0.680322:0.000000
=:@0.186877:0.695812:0.196074:0.695812:0.196074:0.681655:0.186877:0.681655:0.000000
20 1:@0.209593:0.688758:0.248442:0.688758:0.248442:0.673859:0.209593:0.673859:0.000000:0.000000:0.000000:0.000000
32 1:@0.209744:0.705103:0.248442:0.705103:0.248442:0.690204:0.209744:0.690204:0.000000:0.000000:0.000000:0.000000
=:@0.259485:0.695812:0.268682:0.695812:0.268682:0.681655:0.259485:0.681655:0.000000
20 32 –12:@0.270894:0.695196:0.354354:0.695196:0.354354:0.680297:0.270894:0.680297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.288903:0.695812:0.298100:0.695812:0.298100:0.681655:0.288903:0.681655:0.000000
=:@0.318018:0.695812:0.327215:0.695812:0.327215:0.681655:0.318018:0.681655:0.000000
Determinant:@0.400804:0.664988:0.498745:0.664988:0.498745:0.648364:0.400804:0.648364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.498745:0.664988:0.508253:0.664988:0.508253:0.648087:0.498745:0.648087:0.000000
∆:@0.512291:0.664573:0.523569:0.664573:0.523569:0.647631:0.512291:0.647631:0.000000
y:@0.523384:0.664988:0.530866:0.664988:0.530866:0.649595:0.523384:0.649595:0.000000
Δ:@0.403841:0.695812:0.414093:0.695812:0.414093:0.681655:0.403841:0.681655:0.000000
y:@0.413943:0.695196:0.420744:0.695196:0.420744:0.680322:0.413943:0.680322:0.000000
=:@0.424312:0.695812:0.433509:0.695812:0.433509:0.681655:0.424312:0.681655:0.000000
1 20:@0.447766:0.688758:0.486614:0.688758:0.486614:0.673859:0.447766:0.673859:0.000000:0.000000:0.000000:0.000000
2 32:@0.447029:0.705103:0.486765:0.705103:0.486765:0.690204:0.447029:0.690204:0.000000:0.000000:0.000000:0.000000
=:@0.500428:0.695812:0.509626:0.695812:0.509626:0.681655:0.500428:0.681655:0.000000
32 40 –8:@0.511837:0.695196:0.587943:0.695196:0.587943:0.680297:0.511837:0.680297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.529527:0.695812:0.538724:0.695812:0.538724:0.681655:0.529527:0.681655:0.000000
=:@0.559615:0.695812:0.568812:0.695812:0.568812:0.681655:0.559615:0.681655:0.000000
•:@0.120103:0.743106:0.125687:0.743106:0.125687:0.726206:0.120103:0.726206:0.000000
Hallamos los valores de  y .:@0.156673:0.743106:0.377895:0.743106:0.377895:0.726717:0.156673:0.726717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x     y :@0.331733:0.743106:0.374688:0.743106:0.374688:0.727713:0.331733:0.727713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor de:@0.163369:0.775531:0.225949:0.775531:0.225949:0.758907:0.163369:0.758907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.229763:0.775531:0.237227:0.775531:0.237227:0.760138:0.229763:0.760138:0.000000
x:@0.250937:0.805761:0.257721:0.805761:0.257721:0.791768:0.250937:0.791768:0.000000
=:@0.261306:0.806302:0.270503:0.806302:0.270503:0.789919:0.261306:0.789919:0.000000
x:@0.284495:0.798060:0.291280:0.798060:0.291280:0.784067:0.284495:0.784067:0.000000
x:@0.250937:0.839080:0.257721:0.839080:0.257721:0.825086:0.250937:0.825086:0.000000
=:@0.261306:0.839621:0.270503:0.839621:0.270503:0.823238:0.261306:0.823238:0.000000
–12:@0.274390:0.831385:0.298949:0.831385:0.298949:0.816486:0.274390:0.816486:0.000000:0.000000:0.000000
–1:@0.279617:0.848987:0.296168:0.848987:0.296168:0.834088:0.279617:0.834088:0.000000:0.000000
x:@0.250937:0.864697:0.257721:0.864697:0.257721:0.850704:0.250937:0.850704:0.000000
=:@0.261306:0.865238:0.270503:0.865238:0.270503:0.848855:0.261306:0.848855:0.000000
12:@0.271676:0.864697:0.287859:0.864697:0.287859:0.849798:0.271676:0.849798:0.000000:0.000000
s:@0.282796:0.815342:0.289669:0.815342:0.295128:0.798953:0.288255:0.798953:0.000000
Valor de :@0.400804:0.775531:0.467291:0.775531:0.467291:0.758907:0.400804:0.758907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.467291:0.775531:0.474772:0.775531:0.474772:0.760138:0.467291:0.760138:0.000000
y:@0.491724:0.805761:0.498525:0.805761:0.498525:0.791768:0.491724:0.791768:0.000000
=:@0.502094:0.806302:0.511291:0.806302:0.511291:0.789919:0.502094:0.789919:0.000000
y:@0.525281:0.798060:0.532082:0.798060:0.532082:0.784067:0.525281:0.784067:0.000000
y:@0.491724:0.839080:0.498525:0.839080:0.498525:0.825086:0.491724:0.825086:0.000000
=:@0.502094:0.839621:0.511291:0.839621:0.511291:0.823238:0.502094:0.823238:0.000000
8:@0.523867:0.831379:0.532042:0.831379:0.532042:0.816480:0.523867:0.816480:0.000000
1:@0.525281:0.848981:0.533456:0.848981:0.533456:0.834082:0.525281:0.834082:0.000000
y:@0.491724:0.864697:0.498525:0.864697:0.498525:0.850704:0.491724:0.850704:0.000000
=:@0.502094:0.865238:0.511291:0.865238:0.511291:0.848855:0.502094:0.848855:0.000000
8:@0.513502:0.864697:0.521677:0.864697:0.521677:0.849798:0.513502:0.849798:0.000000
s:@0.523581:0.815342:0.530455:0.815342:0.535914:0.798953:0.529040:0.798953:0.000000
Solución.:@0.120103:0.907558:0.187769:0.907558:0.187769:0.890920:0.120103:0.890920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen 12 vacas y 8 gallinas en la finca.:@0.191114:0.907558:0.474863:0.907558:0.474863:0.891169:0.191114:0.891169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de :@0.754958:0.145481:0.862356:0.145481:0.862356:0.130582:0.754958:0.130582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales se :@0.754958:0.160569:0.905361:0.160569:0.905361:0.145670:0.754958:0.145670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usan en el comercio :@0.754958:0.175656:0.893012:0.175656:0.893012:0.160757:0.754958:0.160757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para relacionar ganancias :@0.754958:0.190744:0.926584:0.190744:0.926584:0.175845:0.754958:0.175845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y porcentajes. En la :@0.754958:0.205831:0.883227:0.205831:0.883227:0.190932:0.754958:0.190932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
industria, para indicar :@0.754958:0.220919:0.901472:0.220919:0.901472:0.206020:0.754958:0.206020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situaciones de mezcla de :@0.754958:0.236007:0.925864:0.236007:0.925864:0.221108:0.754958:0.221108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
materiales y su solución :@0.754958:0.251094:0.917238:0.251094:0.917238:0.236195:0.754958:0.236195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(que corresponde a :@0.754958:0.266182:0.888994:0.266182:0.888994:0.251283:0.754958:0.251283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones óptimas).:@0.754958:0.281270:0.901608:0.281270:0.901608:0.266371:0.754958:0.266371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.802434:0.106124:0.884118:0.106124:0.884118:0.089223:0.802434:0.089223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802259:0.119954:0.877308:0.119954:0.877308:0.103053:0.802259:0.103053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.807152:0.119954:0.810776:0.119954:0.810776:0.103053:0.807152:0.103053:0.000000
©:@0.927893:0.424144:0.927893:0.419037:0.915811:0.419037:0.915811:0.424144:0.000000
Shutterstock:@0.927893:0.419037:0.927893:0.381319:0.915982:0.381319:0.915982:0.419037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si no logras llegar a :@0.754958:0.554243:0.887201:0.554243:0.887201:0.539344:0.754958:0.539344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la respuesta de un :@0.754958:0.569331:0.880333:0.569331:0.880333:0.554432:0.754958:0.554432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicio o problema, :@0.754958:0.584419:0.898407:0.584419:0.898407:0.569520:0.754958:0.569520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no te desanimes; :@0.754958:0.599506:0.871638:0.599506:0.871638:0.584607:0.754958:0.584607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vuelve a intentarlo; :@0.754958:0.614594:0.885189:0.614594:0.885189:0.599695:0.754958:0.599695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sé perseverante y :@0.754958:0.629681:0.874769:0.629681:0.874769:0.614782:0.754958:0.614782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no te rindas. :@0.754958:0.644769:0.840293:0.644769:0.840293:0.629870:0.754958:0.629870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       Socioemocional:@0.756584:0.521801:0.902604:0.521801:0.902604:0.504901:0.756584:0.504901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema de numeración :@0.755480:0.771744:0.930357:0.771744:0.930357:0.756845:0.755480:0.756845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secoya, en su proceso :@0.755480:0.786832:0.904642:0.786832:0.904642:0.771933:0.755480:0.771933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oral, utiliza los dedos de :@0.755480:0.801919:0.918012:0.801919:0.918012:0.787020:0.755480:0.787020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las manos y de los pies. :@0.755480:0.817007:0.913536:0.817007:0.913536:0.802108:0.755480:0.802108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para contar los números :@0.755480:0.832094:0.919652:0.832094:0.919652:0.817195:0.755480:0.817195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del 1 al 5 comienzan por :@0.755480:0.847182:0.922937:0.847182:0.922937:0.832283:0.755480:0.832283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el dedo meñique de la :@0.755480:0.862270:0.909586:0.862270:0.909586:0.847371:0.755480:0.847371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mano izquierda, palma :@0.755480:0.877357:0.911544:0.877357:0.911544:0.862458:0.755480:0.862458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriba.:@0.755480:0.892445:0.796473:0.892445:0.796473:0.877546:0.755480:0.877546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cívica:@0.819560:0.739302:0.864411:0.739302:0.864411:0.722401:0.819560:0.722401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000