82:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El método de igualación permite resolver sistemas de ecuaciones lineales. Consiste :@0.287490:0.150300:0.907687:0.150300:0.907687:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en despejar la misma incógnita en ambas ecuaciones y, luego, igualar las expresiones :@0.287490:0.166897:0.907748:0.166897:0.907748:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultantes.:@0.287490:0.183493:0.370560:0.183493:0.370560:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonia  y  Joaquín  realizan  sus  compras  navideñas  en  diferentes  almacenes. :@0.287490:0.207212:0.907671:0.207212:0.907671:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compraron igual número de zapatos y pantalones en cada almacén. En el almacén :@0.287490:0.223808:0.907672:0.223808:0.907672:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frut, Antonia pagó por cada par de zapatos $30 y por cada pantalón, $15. :@0.287490:0.240405:0.907671:0.240405:0.907671:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En total, canceló $255. En el almacén Pat, Joaquín compró cada par de zapatos :@0.287490:0.257001:0.907728:0.257001:0.907728:0.240612:0.287490:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en $45 y cada pantalón en $25. En total, canceló $400. ¿Cuántos pares de zapatos y :@0.287490:0.273597:0.907654:0.273597:0.907654:0.257209:0.287490:0.257209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pantalones compró cada uno?:@0.287490:0.290194:0.511255:0.290194:0.511255:0.273805:0.287490:0.273805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables del problema::@0.287490:0.313913:0.584207:0.313913:0.584207:0.297524:0.287490:0.297524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.467233:0.337632:0.474697:0.337632:0.474697:0.322239:0.467233:0.322239:0.000000
: zapatos                       : pantalones:@0.474697:0.337632:0.723910:0.337632:0.723910:0.321243:0.474697:0.321243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.627312:0.337632:0.634794:0.337632:0.634794:0.322239:0.627312:0.322239:0.000000
Organizamos los datos en una tabla, tenemos::@0.287490:0.361351:0.625118:0.361351:0.625118:0.344962:0.287490:0.344962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Personas:@0.334963:0.388170:0.400030:0.388170:0.400030:0.372806:0.334963:0.372806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Zapatos ( ):@0.465699:0.388170:0.546010:0.388170:0.546010:0.372806:0.465699:0.372806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.532625:0.388170:0.540968:0.388170:0.540968:0.372617:0.532625:0.372617:0.000000
Pantalones ( ):@0.608765:0.388170:0.704488:0.388170:0.704488:0.372806:0.608765:0.372806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.691622:0.388170:0.699948:0.388170:0.699948:0.372617:0.691622:0.372617:0.000000
Costo:@0.793409:0.388170:0.834654:0.388170:0.834654:0.372806:0.793409:0.372806:0.000000:0.000000:0.000000:0.000000:0.000000
Antonia:@0.341061:0.410223:0.393915:0.410223:0.393915:0.395324:0.341061:0.395324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.494279:0.410223:0.510629:0.410223:0.510629:0.395324:0.494279:0.395324:0.000000:0.000000
x:@0.510629:0.410223:0.517414:0.410223:0.517414:0.396230:0.510629:0.396230:0.000000
15:@0.645050:0.410223:0.661401:0.410223:0.661401:0.395324:0.645050:0.395324:0.000000:0.000000
y:@0.661401:0.410223:0.668202:0.410223:0.668202:0.396230:0.661401:0.396230:0.000000
$255:@0.797681:0.410223:0.830382:0.410223:0.830382:0.395324:0.797681:0.395324:0.000000:0.000000:0.000000:0.000000
Joaquín:@0.341078:0.429712:0.393898:0.429712:0.393898:0.414813:0.341078:0.414813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
45:@0.494279:0.429712:0.510629:0.429712:0.510629:0.414813:0.494279:0.414813:0.000000:0.000000
x:@0.510629:0.429712:0.517414:0.429712:0.517414:0.415718:0.510629:0.415718:0.000000
25:@0.645050:0.429712:0.661401:0.429712:0.661401:0.414813:0.645050:0.414813:0.000000:0.000000
y:@0.661401:0.429712:0.668202:0.429712:0.668202:0.415718:0.661401:0.415718:0.000000
$400:@0.797681:0.429712:0.830382:0.429712:0.830382:0.414813:0.797681:0.414813:0.000000:0.000000:0.000000:0.000000
El sistema de ecuaciones formado es: :@0.287494:0.471620:0.563776:0.471620:0.563776:0.455231:0.287494:0.455231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.578061:0.460293:0.595843:0.460293:0.595843:0.444623:0.578061:0.444623:0.000000:0.000000
x:@0.595226:0.460290:0.603132:0.460290:0.608351:0.444621:0.600446:0.444621:0.000000
+:@0.608156:0.460968:0.618273:0.460968:0.618273:0.445395:0.608156:0.445395:0.000000
15:@0.618844:0.460290:0.636627:0.460290:0.636627:0.444621:0.618844:0.444621:0.000000:0.000000
y:@0.635956:0.460290:0.644064:0.460290:0.649284:0.444621:0.641176:0.444621:0.000000
=:@0.650823:0.460968:0.660940:0.460968:0.660940:0.445395:0.650823:0.445395:0.000000
255:@0.663391:0.460290:0.689963:0.460290:0.689963:0.444621:0.663391:0.444621:0.000000:0.000000:0.000000
45:@0.578789:0.481036:0.596572:0.481036:0.596572:0.465366:0.578789:0.465366:0.000000:0.000000
x:@0.595174:0.481036:0.603080:0.481036:0.608299:0.465366:0.600394:0.465366:0.000000
+:@0.608104:0.481714:0.618221:0.481714:0.618221:0.466141:0.608104:0.466141:0.000000
25:@0.619935:0.481036:0.637718:0.481036:0.637718:0.465366:0.619935:0.465366:0.000000:0.000000
y:@0.637055:0.481036:0.645163:0.481036:0.650383:0.465366:0.642275:0.465366:0.000000
=:@0.651922:0.481714:0.662039:0.481714:0.662039:0.466141:0.651922:0.466141:0.000000
400:@0.665227:0.481036:0.691799:0.481036:0.691799:0.465366:0.665227:0.465366:0.000000:0.000000:0.000000
    el sistema equivalente es :@0.693647:0.470506:0.890768:0.470506:0.890768:0.454836:0.693647:0.454836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.901751:0.460285:0.910743:0.460285:0.910743:0.444616:0.901751:0.444616:0.000000
x:@0.910277:0.460290:0.918182:0.460290:0.923402:0.444621:0.915496:0.444621:0.000000
+:@0.923207:0.460968:0.933324:0.460968:0.933324:0.445395:0.923207:0.445395:0.000000
3:@0.935038:0.460290:0.944030:0.460290:0.944030:0.444621:0.935038:0.444621:0.000000
y:@0.943363:0.460290:0.951471:0.460290:0.956690:0.444621:0.948582:0.444621:0.000000
=:@0.958230:0.460968:0.968346:0.460968:0.968346:0.445395:0.958230:0.445395:0.000000
51:@0.970797:0.460290:0.988580:0.460290:0.988580:0.444621:0.970797:0.444621:0.000000:0.000000
9:@0.901528:0.481036:0.910520:0.481036:0.910520:0.465366:0.901528:0.465366:0.000000
x:@0.909910:0.481036:0.917815:0.481036:0.923035:0.465366:0.915130:0.465366:0.000000
+:@0.922840:0.481714:0.932957:0.481714:0.932957:0.466141:0.922840:0.466141:0.000000
5:@0.934671:0.481036:0.943663:0.481036:0.943663:0.465366:0.934671:0.465366:0.000000
y:@0.942996:0.481036:0.951104:0.481036:0.956324:0.465366:0.948215:0.465366:0.000000
=:@0.957864:0.481714:0.967981:0.481714:0.967981:0.466141:0.957864:0.466141:0.000000
80:@0.970432:0.481036:0.988215:0.481036:0.988215:0.465366:0.970432:0.465366:0.000000:0.000000
El sistema equivalente es: :@0.287495:0.518981:0.477167:0.518981:0.477167:0.502592:0.287495:0.502592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.164203:0.507389:0.181985:0.507389:0.181985:0.491719:0.164203:0.491719:0.000000:0.000000
x:@0.181373:0.507388:0.189279:0.507388:0.194498:0.491718:0.186593:0.491718:0.000000
+:@0.194305:0.508067:0.204422:0.508067:0.204422:0.492494:0.194305:0.492494:0.000000
15:@0.204993:0.507389:0.222776:0.507389:0.222776:0.491719:0.204993:0.491719:0.000000:0.000000
y:@0.222103:0.507388:0.230211:0.507388:0.235431:0.491718:0.227323:0.491718:0.000000
=:@0.236970:0.508067:0.247087:0.508067:0.247087:0.492494:0.236970:0.492494:0.000000
255:@0.249538:0.507389:0.276110:0.507389:0.276110:0.491719:0.249538:0.491719:0.000000:0.000000:0.000000
45:@0.164937:0.528134:0.182719:0.528134:0.182719:0.512465:0.164937:0.512465:0.000000:0.000000
x:@0.181321:0.528133:0.189227:0.528133:0.194446:0.512463:0.186541:0.512463:0.000000
+:@0.194252:0.528812:0.204368:0.528812:0.204368:0.513239:0.194252:0.513239:0.000000
25:@0.206082:0.528134:0.223865:0.528134:0.223865:0.512465:0.206082:0.512465:0.000000:0.000000
y:@0.223202:0.528133:0.231310:0.528133:0.236530:0.512463:0.228422:0.512463:0.000000
=:@0.238071:0.528812:0.248188:0.528812:0.248188:0.513239:0.238071:0.513239:0.000000
400:@0.251376:0.528134:0.277948:0.528134:0.277948:0.512465:0.251376:0.512465:0.000000:0.000000:0.000000
    el sistema equivalente es :@0.279794:0.517604:0.476915:0.517604:0.476915:0.501935:0.279794:0.501935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.487898:0.507384:0.496890:0.507384:0.496890:0.491714:0.487898:0.491714:0.000000
x:@0.496424:0.507388:0.504329:0.507388:0.509549:0.491718:0.501643:0.491718:0.000000
+:@0.509354:0.508067:0.519471:0.508067:0.519471:0.492494:0.509354:0.492494:0.000000
3:@0.521185:0.507389:0.530177:0.507389:0.530177:0.491719:0.521185:0.491719:0.000000
y:@0.529510:0.507388:0.537618:0.507388:0.542837:0.491718:0.534729:0.491718:0.000000
=:@0.544377:0.508067:0.554493:0.508067:0.554493:0.492494:0.544377:0.492494:0.000000
51:@0.556944:0.507389:0.574727:0.507389:0.574727:0.491719:0.556944:0.491719:0.000000:0.000000
9:@0.487675:0.528134:0.496668:0.528134:0.496668:0.512465:0.487675:0.512465:0.000000
x:@0.496057:0.528133:0.503962:0.528133:0.509182:0.512463:0.501276:0.512463:0.000000
+:@0.508987:0.528812:0.519104:0.528812:0.519104:0.513239:0.508987:0.513239:0.000000
5:@0.520818:0.528134:0.529810:0.528134:0.529810:0.512465:0.520818:0.512465:0.000000
y:@0.529143:0.528133:0.537251:0.528133:0.542471:0.512463:0.534362:0.512463:0.000000
=:@0.544011:0.528812:0.554128:0.528812:0.554128:0.513239:0.544011:0.513239:0.000000
80:@0.556579:0.528134:0.574362:0.528134:0.574362:0.512465:0.556579:0.512465:0.000000:0.000000
Para resolver el sistema de ecuaciones por igualación, se procede así: :@0.287494:0.553397:0.794431:0.553397:0.794431:0.537008:0.287494:0.537008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.287494:0.577116:0.350774:0.577116:0.350774:0.560216:0.287494:0.560216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se despeja la misma variable en ambas ecuaciones.:@0.350774:0.577116:0.731922:0.577116:0.731922:0.560727:0.350774:0.560727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.494503:0.608579:0.502409:0.608579:0.507213:0.592190:0.499307:0.592190:0.000000
y:@0.562560:0.599621:0.570668:0.599621:0.575472:0.583232:0.567364:0.583232:0.000000
51 3:@0.523786:0.599621:0.563092:0.599621:0.563092:0.583232:0.523786:0.583232:0.000000:0.000000:0.000000:0.000000
6:@0.544832:0.619069:0.553825:0.619069:0.553825:0.602680:0.544832:0.602680:0.000000
=:@0.508917:0.609249:0.519034:0.609249:0.519034:0.593676:0.508917:0.593676:0.000000
−:@0.541221:0.600287:0.551337:0.600287:0.551337:0.584714:0.541221:0.584714:0.000000
x:@0.610108:0.608579:0.618014:0.608579:0.622818:0.592190:0.614912:0.592190:0.000000
y:@0.681254:0.599621:0.689362:0.599621:0.694166:0.583232:0.686058:0.583232:0.000000
80 5:@0.639391:0.599621:0.681775:0.599621:0.681775:0.583232:0.639391:0.583232:0.000000:0.000000:0.000000:0.000000
9:@0.661798:0.619069:0.670790:0.619069:0.670790:0.602680:0.661798:0.602680:0.000000
=:@0.624518:0.609249:0.634635:0.609249:0.634635:0.593676:0.624518:0.593676:0.000000
−:@0.659900:0.600287:0.670016:0.600287:0.670016:0.584714:0.659900:0.584714:0.000000
En este caso, hemos despejado la variable  . :@0.287477:0.647573:0.612793:0.647573:0.612793:0.631184:0.287477:0.631184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.598088:0.647573:0.605551:0.647573:0.605551:0.632180:0.598088:0.632180:0.000000
Segundo:@0.287477:0.671292:0.357133:0.671292:0.357133:0.654391:0.287477:0.654391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se igualan las dos ecuaciones y se realiza el producto cruzado.:@0.356765:0.671292:0.816682:0.671292:0.816682:0.654903:0.356765:0.654903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.554663:0.694282:0.562771:0.694282:0.567575:0.677893:0.559467:0.677893:0.000000
y:@0.628060:0.694282:0.636168:0.694282:0.640972:0.677893:0.632864:0.677893:0.000000
y:@0.567648:0.731015:0.575756:0.731015:0.580561:0.714626:0.572452:0.714626:0.000000
y:@0.658220:0.731015:0.666328:0.731015:0.671132:0.714626:0.663024:0.714626:0.000000
51 3:@0.515889:0.694282:0.555195:0.694282:0.555195:0.677893:0.515889:0.677893:0.000000:0.000000:0.000000:0.000000
6:@0.536934:0.713730:0.545926:0.713730:0.545926:0.697341:0.536934:0.697341:0.000000
80 5:@0.586196:0.694282:0.628579:0.694282:0.628579:0.677893:0.586196:0.677893:0.000000:0.000000:0.000000:0.000000
9:@0.608602:0.713730:0.617595:0.713730:0.617595:0.697341:0.608602:0.697341:0.000000
9(51 3) 6(80 5):@0.514418:0.731017:0.675937:0.731017:0.675937:0.714629:0.514418:0.714629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.533322:0.694959:0.543439:0.694959:0.543439:0.679386:0.533322:0.679386:0.000000
=:@0.571338:0.703921:0.581455:0.703921:0.581455:0.688348:0.571338:0.688348:0.000000
−:@0.606719:0.694959:0.616836:0.694959:0.616836:0.679386:0.606719:0.679386:0.000000
−:@0.546313:0.731693:0.556430:0.731693:0.556430:0.716120:0.546313:0.716120:0.000000
=:@0.588144:0.731693:0.598261:0.731693:0.598261:0.716120:0.588144:0.716120:0.000000
−:@0.636885:0.731693:0.647002:0.731693:0.647002:0.716120:0.636885:0.716120:0.000000
Tercero:@0.287516:0.760238:0.346079:0.760238:0.346079:0.743338:0.287516:0.743338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se efectúan los productos indicados, se reducen términos y, luego, se :@0.346079:0.760238:0.907716:0.760238:0.907716:0.743849:0.346079:0.743849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
despeja la variable  .:@0.287516:0.776835:0.437330:0.776835:0.437330:0.760446:0.287516:0.760446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.426642:0.776835:0.434124:0.776835:0.434124:0.761442:0.426642:0.761442:0.000000
459 – 27  = 480 – 30 ;  3  = 21;   = 7:@0.460901:0.800554:0.730295:0.800554:0.730295:0.784165:0.460901:0.784165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.523150:0.800554:0.530631:0.800554:0.530631:0.785161:0.523150:0.785161:0.000000
y:@0.611934:0.800554:0.619416:0.800554:0.619416:0.785161:0.611934:0.785161:0.000000
y:@0.639686:0.800554:0.647168:0.800554:0.647168:0.785161:0.639686:0.785161:0.000000
y :@0.695485:0.800554:0.706284:0.800554:0.706284:0.785161:0.695485:0.785161:0.000000:0.000000
Cuarto:@0.287516:0.824273:0.341637:0.824273:0.341637:0.807372:0.287516:0.807372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se reemplaza el valor de   en cualquiera de las ecuaciones del sistema:@0.341637:0.824273:0.903645:0.824273:0.903645:0.807884:0.341637:0.807884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.549300:0.824273:0.556782:0.824273:0.556782:0.808880:0.549300:0.808880:0.000000
y se obtiene el valor de la otra variable.:@0.287516:0.840869:0.570724:0.840869:0.570724:0.824480:0.287516:0.824480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6  + 3(7) = 51;  6  = 30;   = 5:@0.491675:0.864588:0.699502:0.864588:0.699502:0.848199:0.491675:0.848199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.500668:0.864588:0.508131:0.864588:0.508131:0.849195:0.500668:0.849195:0.000000
x:@0.612247:0.864588:0.619711:0.864588:0.619711:0.849195:0.612247:0.849195:0.000000
x:@0.663992:0.864588:0.671455:0.864588:0.671455:0.849195:0.663992:0.849195:0.000000
Solución:@0.287516:0.895443:0.351294:0.895443:0.351294:0.878806:0.287516:0.878806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonia y Joaquín compraron 5 pares de zapatos y 7 pantalones.:@0.287516:0.919162:0.760326:0.919162:0.760326:0.902774:0.287516:0.902774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método de igualación:@0.286308:0.063945:0.665287:0.063945:0.665287:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y eliminación gaussiana:@0.286308:0.094120:0.700266:0.094120:0.700266:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los sistemas de ecuaciones :@0.094197:0.335257:0.262308:0.335257:0.262308:0.321848:0.094197:0.321848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten resolver problemas :@0.085151:0.348836:0.262308:0.348836:0.262308:0.335427:0.085151:0.335427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de diversas situaciones.:@0.119044:0.362414:0.259006:0.362414:0.259006:0.349005:0.119044:0.349005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.182790:0.070380:0.177683:0.058298:0.177683:0.058298:0.182790:0.000000
Shutterstock:@0.070380:0.177683:0.070380:0.139965:0.058469:0.139965:0.058469:0.177683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin importar las :@0.141279:0.483628:0.248425:0.483628:0.248425:0.468729:0.141279:0.468729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencias o similitudes :@0.085359:0.498716:0.248427:0.498716:0.248427:0.483817:0.085359:0.483817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que podamos tener :@0.112314:0.513804:0.248425:0.513804:0.248425:0.498905:0.112314:0.498905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unos con otros, es :@0.124242:0.528891:0.248425:0.528891:0.248425:0.513992:0.124242:0.513992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprescindible facilitar :@0.094255:0.543979:0.248427:0.543979:0.248427:0.529080:0.094255:0.529080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la inclusión social y :@0.117892:0.559066:0.248427:0.559066:0.248427:0.544167:0.117892:0.544167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evitar la discriminación.:@0.088794:0.574154:0.244757:0.574154:0.244757:0.559255:0.088794:0.559255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Ética e integridad:@0.111828:0.450905:0.251055:0.450905:0.251055:0.434004:0.111828:0.434004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al sitio web :@0.117423:0.723108:0.248425:0.723108:0.248425:0.708209:0.117423:0.708209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del enlace. Mira con :@0.111644:0.738195:0.248425:0.738195:0.248425:0.723296:0.111644:0.723296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atención el ejercicio :@0.111644:0.753283:0.248425:0.753283:0.248425:0.738384:0.111644:0.738384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentado.:@0.165855:0.768371:0.244757:0.768371:0.244757:0.753472:0.165855:0.753472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt11:@0.141363:0.787016:0.244758:0.787016:0.244758:0.771891:0.141363:0.771891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué incógnita se eliminó :@0.081557:0.805662:0.247774:0.805662:0.247774:0.791668:0.081557:0.791668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el primer paso?:@0.130658:0.820750:0.244758:0.820750:0.244758:0.806756:0.130658:0.806756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146708:0.690384:0.197179:0.690384:0.197179:0.673483:0.146708:0.673483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.55. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver un sistema de dos ecuaciones lineales con dos incógnitas de manera algebraica, utilizando los métodos de :@0.339706:0.954959:0.903640:0.954959:0.903640:0.944530:0.339706:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualación y de eliminación gaussiana.:@0.290067:0.965521:0.468559:0.965521:0.468559:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000