﻿60:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.282490:0.043661:0.282490:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.4 Método de igualación:@0.293660:0.136836:0.493338:0.136836:0.493338:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio y Joaquín hacen sus compras navideñas en diferentes almacenes. Compraron :@0.293660:0.164199:0.930873:0.164199:0.930873:0.147766:0.293660:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual número de zapatos y pantalones en cada almacén. En el almacén :@0.293660:0.180841:0.830059:0.180841:0.830059:0.164407:0.293660:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frut:@0.830894:0.180841:0.858647:0.180841:0.858647:0.164435:0.830894:0.164435:0.000000:0.000000:0.000000:0.000000
, Antonio :@0.858708:0.180841:0.930960:0.180841:0.930960:0.164407:0.858708:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pagó por cada par de zapatos $30 y por cada pantalón, $15. En total canceló $255. En el :@0.293679:0.197483:0.931475:0.197483:0.931475:0.181049:0.293679:0.181049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
almacén :@0.293679:0.214125:0.361693:0.214125:0.361693:0.197691:0.293679:0.197691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pat:@0.363295:0.214125:0.386545:0.214125:0.386545:0.197719:0.363295:0.197719:0.000000:0.000000:0.000000
, Joaquín compró cada par de zapatos en $45 y cada pantalón en $25.  :@0.386709:0.214125:0.930974:0.214125:0.930974:0.197691:0.386709:0.197691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En total canceló $400. ¿Cuántos pares de zapatos y pantalones compró cada uno?:@0.293697:0.230767:0.886653:0.230767:0.886653:0.214333:0.293697:0.214333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables del problema::@0.293697:0.258129:0.587132:0.258129:0.587132:0.241695:0.293697:0.241695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.500447:0.285491:0.509135:0.285491:0.509135:0.268544:0.500447:0.268544:0.000000
: zapatos              : pantalones:@0.509062:0.285491:0.720285:0.285491:0.720285:0.269057:0.509062:0.269057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.623463:0.285491:0.632151:0.285491:0.632151:0.268544:0.623463:0.268544:0.000000
Organizamos los datos en una tabla, tenemos::@0.293697:0.319995:0.627767:0.319995:0.627767:0.303561:0.293697:0.303561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Personas:@0.329445:0.352683:0.393970:0.352683:0.393970:0.337277:0.329445:0.337277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Zapatos (x:@0.459928:0.353156:0.534439:0.353156:0.534439:0.337750:0.459928:0.337750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.534352:0.353471:0.539892:0.353471:0.539892:0.336524:0.534352:0.336524:0.000000
Pantalon:@0.599415:0.353156:0.663617:0.353156:0.663617:0.337750:0.599415:0.337750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es ( ):@0.663535:0.353471:0.701602:0.353471:0.701602:0.336524:0.663535:0.336524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.687539:0.353471:0.696687:0.353471:0.696687:0.336316:0.687539:0.336316:0.000000
Costo:@0.787286:0.352683:0.828212:0.352683:0.828212:0.337277:0.787286:0.337277:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio:@0.332187:0.380591:0.391248:0.380591:0.391248:0.364157:0.332187:0.364157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.487286:0.380591:0.505178:0.380591:0.505178:0.364157:0.487286:0.364157:0.000000:0.000000
x:@0.505086:0.380591:0.512541:0.380591:0.512541:0.364185:0.505086:0.364185:0.000000
15:@0.637876:0.380591:0.655768:0.380591:0.655768:0.364157:0.637876:0.364157:0.000000:0.000000
y:@0.655676:0.380591:0.663149:0.380591:0.663149:0.364185:0.655676:0.364185:0.000000
$255:@0.789901:0.380591:0.825611:0.380591:0.825611:0.364157:0.789901:0.364157:0.000000:0.000000:0.000000:0.000000
Joaquín:@0.332923:0.405290:0.390512:0.405290:0.390512:0.388857:0.332923:0.388857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
45:@0.487286:0.405290:0.505178:0.405290:0.505178:0.388857:0.487286:0.388857:0.000000:0.000000
x:@0.505086:0.405290:0.512541:0.405290:0.512541:0.388884:0.505086:0.388884:0.000000
25:@0.637876:0.405290:0.655768:0.405290:0.655768:0.388857:0.637876:0.388857:0.000000:0.000000
y:@0.655676:0.405290:0.663149:0.405290:0.663149:0.388884:0.655676:0.388884:0.000000
$400:@0.789901:0.405290:0.825611:0.405290:0.825611:0.388857:0.789901:0.388857:0.000000:0.000000:0.000000:0.000000
El sistema de ecuaciones formado es: :@0.293660:0.450265:0.566962:0.450265:0.566962:0.433831:0.293660:0.433831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.580920:0.438902:0.598683:0.438902:0.598683:0.423189:0.580920:0.423189:0.000000:0.000000
x:@0.598073:0.438901:0.605970:0.438901:0.611184:0.423188:0.603287:0.423188:0.000000
+:@0.610989:0.439581:0.621095:0.439581:0.621095:0.423966:0.610989:0.423966:0.000000
15:@0.621666:0.438902:0.639429:0.438902:0.639429:0.423189:0.621666:0.423189:0.000000:0.000000
y:@0.638758:0.438901:0.646858:0.438901:0.652072:0.423188:0.643972:0.423188:0.000000
=:@0.653609:0.439581:0.663715:0.439581:0.663715:0.423966:0.653609:0.423966:0.000000
255:@0.666163:0.438902:0.692706:0.438902:0.692706:0.423189:0.666163:0.423189:0.000000:0.000000:0.000000
45:@0.581655:0.459704:0.599418:0.459704:0.599418:0.443992:0.581655:0.443992:0.000000:0.000000
x:@0.598022:0.459703:0.605918:0.459703:0.611132:0.443990:0.603235:0.443990:0.000000
+:@0.610938:0.460384:0.621043:0.460384:0.621043:0.444768:0.610938:0.444768:0.000000
25:@0.622755:0.459704:0.640518:0.459704:0.640518:0.443992:0.622755:0.443992:0.000000:0.000000
y:@0.639856:0.459703:0.647955:0.459703:0.653169:0.443990:0.645070:0.443990:0.000000
=:@0.654707:0.460384:0.664812:0.460384:0.664812:0.444768:0.654707:0.444768:0.000000
400:@0.667997:0.459704:0.694540:0.459704:0.694540:0.443992:0.667997:0.443992:0.000000:0.000000:0.000000
el sistema equivalente es:@0.711627:0.449145:0.889643:0.449145:0.889643:0.433433:0.711627:0.433433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.904259:0.438897:0.913242:0.438897:0.913242:0.423184:0.904259:0.423184:0.000000
x:@0.912776:0.438901:0.920672:0.438901:0.925886:0.423188:0.917989:0.423188:0.000000
+:@0.925692:0.439581:0.935797:0.439581:0.935797:0.423966:0.925692:0.423966:0.000000
3:@0.937509:0.438902:0.946492:0.438902:0.946492:0.423189:0.937509:0.423189:0.000000
y:@0.945825:0.438901:0.953924:0.438901:0.959138:0.423188:0.951039:0.423188:0.000000
=:@0.960675:0.439581:0.970781:0.439581:0.970781:0.423966:0.960675:0.423966:0.000000
51:@0.973229:0.438902:0.990992:0.438902:0.990992:0.423189:0.973229:0.423189:0.000000:0.000000
9:@0.904036:0.459704:0.913019:0.459704:0.913019:0.443992:0.904036:0.443992:0.000000
x:@0.912409:0.459703:0.920306:0.459703:0.925520:0.443990:0.917623:0.443990:0.000000
+:@0.925325:0.460384:0.935431:0.460384:0.935431:0.444768:0.925325:0.444768:0.000000
5:@0.937143:0.459704:0.946125:0.459704:0.946125:0.443992:0.937143:0.443992:0.000000
y:@0.945458:0.459703:0.953558:0.459703:0.958772:0.443990:0.950672:0.443990:0.000000
=:@0.960309:0.460384:0.970415:0.460384:0.970415:0.444768:0.960309:0.444768:0.000000
80:@0.972863:0.459704:0.990626:0.459704:0.990626:0.443992:0.972863:0.443992:0.000000:0.000000
El sistema equivalente es: :@0.293660:0.501292:0.481190:0.501292:0.481190:0.484859:0.293660:0.484859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.168332:0.489668:0.186095:0.489668:0.186095:0.473956:0.168332:0.473956:0.000000:0.000000
x:@0.185483:0.489667:0.193380:0.489667:0.198594:0.473954:0.190697:0.473954:0.000000
+:@0.198401:0.490348:0.208506:0.490348:0.208506:0.474732:0.198401:0.474732:0.000000
15:@0.209077:0.489668:0.226840:0.489668:0.226840:0.473956:0.209077:0.473956:0.000000:0.000000
y:@0.226168:0.489667:0.234267:0.489667:0.239481:0.473954:0.231382:0.473954:0.000000
=:@0.241019:0.490348:0.251124:0.490348:0.251124:0.474732:0.241019:0.474732:0.000000
255:@0.253572:0.489668:0.280116:0.489668:0.280116:0.473956:0.253572:0.473956:0.000000:0.000000:0.000000
45:@0.169065:0.510471:0.186828:0.510471:0.186828:0.494758:0.169065:0.494758:0.000000:0.000000
x:@0.185431:0.510469:0.193328:0.510469:0.198542:0.494757:0.190645:0.494757:0.000000
+:@0.198347:0.511150:0.208453:0.511150:0.208453:0.495535:0.198347:0.495535:0.000000
25:@0.210165:0.510471:0.227928:0.510471:0.227928:0.494758:0.210165:0.494758:0.000000:0.000000
y:@0.227266:0.510469:0.235365:0.510469:0.240579:0.494757:0.232480:0.494757:0.000000
=:@0.242118:0.511150:0.252224:0.511150:0.252224:0.495535:0.242118:0.495535:0.000000
400:@0.255408:0.510471:0.281951:0.510471:0.281951:0.494758:0.255408:0.494758:0.000000:0.000000:0.000000
el sistema equivalente es :@0.299037:0.499912:0.480698:0.499912:0.480698:0.484199:0.299037:0.484199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.491669:0.489663:0.500651:0.489663:0.500651:0.473951:0.491669:0.473951:0.000000
x:@0.500185:0.489667:0.508082:0.489667:0.513296:0.473954:0.505399:0.473954:0.000000
+:@0.513101:0.490348:0.523207:0.490348:0.523207:0.474732:0.513101:0.474732:0.000000
3:@0.524919:0.489668:0.533902:0.489668:0.533902:0.473956:0.524919:0.473956:0.000000
y:@0.533235:0.489667:0.541334:0.489667:0.546548:0.473954:0.538448:0.473954:0.000000
=:@0.548085:0.490348:0.558191:0.490348:0.558191:0.474732:0.548085:0.474732:0.000000
51:@0.560639:0.489668:0.578402:0.489668:0.578402:0.473956:0.560639:0.473956:0.000000:0.000000
9:@0.491446:0.510471:0.500429:0.510471:0.500429:0.494758:0.491446:0.494758:0.000000
x:@0.499819:0.510469:0.507716:0.510469:0.512929:0.494757:0.505033:0.494757:0.000000
+:@0.512735:0.511150:0.522840:0.511150:0.522840:0.495535:0.512735:0.495535:0.000000
5:@0.524552:0.510471:0.533535:0.510471:0.533535:0.494758:0.524552:0.494758:0.000000
y:@0.532868:0.510469:0.540967:0.510469:0.546181:0.494757:0.538082:0.494757:0.000000
=:@0.547720:0.511150:0.557826:0.511150:0.557826:0.495535:0.547720:0.495535:0.000000
80:@0.560274:0.510471:0.578037:0.510471:0.578037:0.494758:0.560274:0.494758:0.000000:0.000000
Para resolver el sistema de ecuaciones por :@0.293660:0.539376:0.602376:0.539376:0.602376:0.522942:0.293660:0.522942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualación:@0.293660:0.556018:0.376051:0.556018:0.376051:0.539071:0.293660:0.539071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se procede así: :@0.375959:0.556018:0.493427:0.556018:0.493427:0.539584:0.375959:0.539584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.293660:0.586957:0.356425:0.586957:0.356425:0.570011:0.293660:0.570011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se despeja la misma variable en ambas ecuaciones.:@0.356337:0.586957:0.733376:0.586957:0.733376:0.570524:0.356337:0.570524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso, hemos despejado la variable  . :@0.293660:0.614319:0.616395:0.614319:0.616395:0.597886:0.293660:0.597886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600546:0.614319:0.609234:0.614319:0.609234:0.597373:0.600546:0.597373:0.000000
Segundo:@0.293660:0.641681:0.365005:0.641681:0.365005:0.624734:0.293660:0.624734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se igualan las dos ecuaciones y se realiza :@0.364915:0.641681:0.668977:0.641681:0.668977:0.625248:0.364915:0.625248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el producto cruzado.:@0.293660:0.658323:0.443744:0.658323:0.443744:0.641889:0.293660:0.641889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tercero:@0.293660:0.705905:0.351709:0.705905:0.351709:0.688958:0.293660:0.688958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se multiplica y se despeja  .:@0.351625:0.705905:0.558136:0.705905:0.558136:0.689471:0.351625:0.689471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.546318:0.705905:0.555006:0.705905:0.555006:0.688958:0.546318:0.688958:0.000000
      459 – 27  = 480 – 30 ;  3  = 21;   = 7:@0.293660:0.733267:0.583464:0.733267:0.583464:0.716833:0.293660:0.716833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.378904:0.733267:0.386377:0.733267:0.386377:0.716861:0.378904:0.716861:0.000000
y:@0.466633:0.733267:0.474106:0.733267:0.474106:0.716861:0.466633:0.716861:0.000000
y:@0.493949:0.733267:0.501423:0.733267:0.501423:0.716861:0.493949:0.716861:0.000000
y :@0.548969:0.733267:0.559682:0.733267:0.559682:0.716861:0.548969:0.716861:0.000000:0.000000
Cuarto:@0.293642:0.760629:0.349000:0.760629:0.349000:0.743682:0.293642:0.743682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se reemplaza el valor de   en cualesquiera de las ecuaciones del sistema :@0.349257:0.760629:0.930938:0.760629:0.930938:0.744195:0.349257:0.744195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.554535:0.760629:0.563223:0.760629:0.563223:0.743682:0.554535:0.743682:0.000000
y se obtiene la otra variable.:@0.293660:0.777271:0.494745:0.777271:0.494745:0.760837:0.293660:0.760837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      6  + 3(7) = 51;  6  = 30;   = 5:@0.293660:0.804633:0.522573:0.804633:0.522573:0.788199:0.293660:0.788199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.326259:0.804633:0.333714:0.804633:0.333714:0.788227:0.326259:0.788227:0.000000
x:@0.436353:0.804633:0.443808:0.804633:0.443808:0.788227:0.436353:0.788227:0.000000
x:@0.487396:0.804633:0.494851:0.804633:0.494851:0.788227:0.487396:0.788227:0.000000
Solución:@0.293623:0.842715:0.360276:0.842715:0.360276:0.826045:0.293623:0.826045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio y Joaquín compraron 5 pares de zapatos y 7 pantalones.:@0.293623:0.862935:0.767347:0.862935:0.767347:0.846501:0.293623:0.846501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000