﻿90:@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
Existen muchas situaciones en diferentes áreas, como la física, la economía, la :@0.287490:0.150300:0.907652:0.150300:0.907652:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
química, las finanzas, en las que hay múltiples variables dependientes entre sí, así :@0.287490:0.166897:0.907707:0.166897:0.907707:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como restricciones que se expresan mediante ecuaciones lineales, y se necesita :@0.287490:0.183493:0.907707:0.183493:0.907707:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar soluciones que satisfagan simultáneamente varias condiciones o :@0.287490:0.200089:0.907671:0.200089:0.907671:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones. Veamos algunos ejemplos.:@0.287490:0.216686:0.563238:0.216686:0.563238:0.200297:0.287490:0.200297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nuestro país exporta a otros países una gran variedad de frutas, como maracuyá y :@0.287490:0.240405:0.907704:0.240405:0.907704:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
melón. Una empresa necesita 10 horas para lavar el maracuyá y 30 horas para el :@0.287490:0.257001:0.907728:0.257001:0.907728:0.240612:0.287490:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empacado. Para lavar el melón se requieren 5 horas y para empacarlo, 10 horas. Si la :@0.287490:0.273597:0.907691:0.273597:0.907691:0.257209:0.287490:0.257209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empresa, en horas por mes, dispone de 330 para lavado y 900 para empacado, :@0.287490:0.290194:0.907726:0.290194:0.907726:0.273805:0.287490:0.273805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuántas toneladas de fruta puede exportar trimestralmente?:@0.287490:0.306790:0.735660:0.306790:0.735660:0.290401:0.287490:0.290401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proceso:@0.339059:0.336427:0.395934:0.336427:0.395934:0.321063:0.339059:0.321063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Maracuyá ( ):@0.459610:0.336427:0.552100:0.336427:0.552100:0.321063:0.459610:0.321063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538714:0.336427:0.547057:0.336427:0.547057:0.320875:0.538714:0.320875:0.000000
Melón ( ):@0.624738:0.336427:0.688514:0.336427:0.688514:0.321063:0.624738:0.321063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.675648:0.336427:0.683974:0.336427:0.683974:0.320875:0.675648:0.320875:0.000000
Tiempo:@0.786600:0.336427:0.841480:0.336427:0.841480:0.321063:0.786600:0.321063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lavado:@0.343398:0.359851:0.391612:0.359851:0.391612:0.344952:0.343398:0.344952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.494304:0.359851:0.510654:0.359851:0.510654:0.344952:0.494304:0.344952:0.000000:0.000000
x:@0.510654:0.359851:0.517439:0.359851:0.517439:0.345857:0.510654:0.345857:0.000000
5:@0.649146:0.359851:0.657321:0.359851:0.657321:0.344952:0.649146:0.344952:0.000000
y:@0.657321:0.359851:0.664123:0.359851:0.664123:0.345857:0.657321:0.345857:0.000000
330:@0.801777:0.359851:0.826303:0.359851:0.826303:0.344952:0.801777:0.344952:0.000000:0.000000:0.000000
Empacado:@0.331755:0.383538:0.403238:0.383538:0.403238:0.368639:0.331755:0.368639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.494287:0.383538:0.510637:0.383538:0.510637:0.368639:0.494287:0.368639:0.000000:0.000000
x:@0.510637:0.383538:0.517422:0.383538:0.517422:0.369545:0.510637:0.369545:0.000000
10:@0.645059:0.383538:0.661409:0.383538:0.661409:0.368639:0.645059:0.368639:0.000000:0.000000
y:@0.661409:0.383538:0.668210:0.383538:0.668210:0.369545:0.661409:0.369545:0.000000
900:@0.801777:0.383538:0.826303:0.383538:0.826303:0.368639:0.801777:0.368639:0.000000:0.000000:0.000000
El sistema de ecuaciones es: :@0.287495:0.424362:0.496537:0.424362:0.496537:0.407973:0.287495:0.407973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.508830:0.412758:0.526612:0.412758:0.526612:0.397088:0.508830:0.397088:0.000000:0.000000
x:@0.525995:0.412761:0.533901:0.412761:0.539120:0.397091:0.531215:0.397091:0.000000
+:@0.538927:0.413438:0.549044:0.413438:0.549044:0.397865:0.538927:0.397865:0.000000
5:@0.550758:0.412761:0.559750:0.412761:0.559750:0.397091:0.550758:0.397091:0.000000
y:@0.559081:0.412761:0.567189:0.412761:0.572409:0.397091:0.564301:0.397091:0.000000
=:@0.573950:0.413438:0.584066:0.413438:0.584066:0.397865:0.573950:0.397865:0.000000
330:@0.586517:0.412761:0.613090:0.412761:0.613090:0.397091:0.586517:0.397091:0.000000:0.000000:0.000000
30:@0.509969:0.433506:0.527752:0.433506:0.527752:0.417836:0.509969:0.417836:0.000000:0.000000
x:@0.527148:0.433506:0.535053:0.433506:0.540273:0.417836:0.532367:0.417836:0.000000
+:@0.540078:0.434184:0.550195:0.434184:0.550195:0.418611:0.540078:0.418611:0.000000
10:@0.550766:0.433506:0.568549:0.433506:0.568549:0.417836:0.550766:0.417836:0.000000:0.000000
y:@0.568662:0.433506:0.576770:0.433506:0.581990:0.417836:0.573882:0.417836:0.000000
=:@0.583530:0.434184:0.593647:0.434184:0.593647:0.418611:0.583530:0.418611:0.000000
900:@0.596098:0.433506:0.622671:0.433506:0.622671:0.417836:0.596098:0.417836:0.000000:0.000000:0.000000
; el sistema equivalente es: :@0.624155:0.422976:0.817958:0.422976:0.817958:0.407306:0.624155:0.407306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.828573:0.412756:0.837565:0.412756:0.837565:0.397086:0.828573:0.397086:0.000000
x y:@0.836700:0.412761:0.869518:0.412761:0.874738:0.397091:0.841920:0.397091:0.000000:0.000000:0.000000
+ =:@0.849630:0.413438:0.886395:0.413438:0.886395:0.397865:0.849630:0.397865:0.000000:0.000000:0.000000
66:@0.889215:0.412761:0.906997:0.412761:0.906997:0.397091:0.889215:0.397091:0.000000:0.000000
3:@0.828698:0.433506:0.837691:0.433506:0.837691:0.417836:0.828698:0.417836:0.000000
x y:@0.836281:0.433506:0.869099:0.433506:0.874319:0.417836:0.841501:0.417836:0.000000:0.000000:0.000000
+ =:@0.849212:0.434184:0.885976:0.434184:0.885976:0.418611:0.849212:0.418611:0.000000:0.000000:0.000000
90:@0.888427:0.433506:0.906210:0.433506:0.906210:0.417836:0.888427:0.417836:0.000000:0.000000
Dividimos la primera ecuación para 5 y la segunda ecuación para 10. Entonces, el :@0.287495:0.461118:0.907622:0.461118:0.907622:0.444729:0.287495:0.444729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903587:0.461118:0.907622:0.461118:0.907622:0.444729:0.903587:0.444729:0.000000
sistema equivalente es: :@0.287495:0.488433:0.460695:0.488433:0.460695:0.472044:0.287495:0.472044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.151386:0.479145:0.169168:0.479145:0.169168:0.463475:0.151386:0.463475:0.000000:0.000000
x:@0.168556:0.479145:0.176461:0.479145:0.181681:0.463475:0.173775:0.463475:0.000000
+:@0.181486:0.479823:0.191603:0.479823:0.191603:0.464250:0.181486:0.464250:0.000000
5:@0.193317:0.479145:0.202309:0.479145:0.202309:0.463475:0.193317:0.463475:0.000000
y:@0.201642:0.479145:0.209750:0.479145:0.214970:0.463475:0.206861:0.463475:0.000000
=:@0.216510:0.479823:0.226627:0.479823:0.226627:0.464250:0.216510:0.464250:0.000000
330:@0.229078:0.479145:0.255651:0.479145:0.255651:0.463475:0.229078:0.463475:0.000000:0.000000:0.000000
30:@0.152530:0.499890:0.170312:0.499890:0.170312:0.484221:0.152530:0.484221:0.000000:0.000000
x:@0.169708:0.499890:0.177614:0.499890:0.182833:0.484221:0.174928:0.484221:0.000000
+:@0.182639:0.500568:0.192756:0.500568:0.192756:0.484995:0.182639:0.484995:0.000000
10:@0.193327:0.499890:0.211110:0.499890:0.211110:0.484221:0.193327:0.484221:0.000000:0.000000
y:@0.211223:0.499890:0.219331:0.499890:0.224550:0.484221:0.216442:0.484221:0.000000
=:@0.226091:0.500568:0.236208:0.500568:0.236208:0.484995:0.226091:0.484995:0.000000
900:@0.238659:0.499890:0.265231:0.499890:0.265231:0.484221:0.238659:0.484221:0.000000:0.000000:0.000000
; el sistema equivalente es: :@0.266714:0.489360:0.460518:0.489360:0.460518:0.473691:0.266714:0.473691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.471132:0.479140:0.480125:0.479140:0.480125:0.463470:0.471132:0.463470:0.000000
x y:@0.479261:0.479145:0.512079:0.479145:0.517299:0.463475:0.484481:0.463475:0.000000:0.000000:0.000000
+ =:@0.492191:0.479823:0.528954:0.479823:0.528954:0.464250:0.492191:0.464250:0.000000:0.000000:0.000000
66:@0.531774:0.479145:0.549557:0.479145:0.549557:0.463475:0.531774:0.463475:0.000000:0.000000
3:@0.471257:0.499890:0.480250:0.499890:0.480250:0.484221:0.471257:0.484221:0.000000
x y:@0.478842:0.499890:0.511660:0.499890:0.516880:0.484221:0.484062:0.484221:0.000000:0.000000:0.000000
+ =:@0.491772:0.500568:0.528536:0.500568:0.528536:0.484995:0.491772:0.484995:0.000000:0.000000:0.000000
90:@0.530986:0.499890:0.548769:0.499890:0.548769:0.484221:0.530986:0.484221:0.000000:0.000000
Para resolver el sistema de ecuaciones podemos emplear cualquier método. En este :@0.287495:0.525196:0.907748:0.525196:0.907748:0.508807:0.287495:0.508807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso utilizaremos el de igualación.:@0.287495:0.541792:0.536783:0.541792:0.536783:0.525403:0.287495:0.525403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero, despejamos la variable   en cada ecuación.:@0.287495:0.565511:0.666290:0.565511:0.666290:0.549122:0.287495:0.549122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.522647:0.565511:0.530128:0.565511:0.530128:0.550118:0.522647:0.550118:0.000000
y:@0.480986:0.589230:0.488467:0.589230:0.488467:0.573837:0.480986:0.573837:0.000000
 = 66 – 2                     = 90 – 3:@0.488467:0.589230:0.702689:0.589230:0.702689:0.572841:0.488467:0.572841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.551785:0.589230:0.559248:0.589230:0.559248:0.573837:0.551785:0.573837:0.000000
y:@0.631890:0.589230:0.639371:0.589230:0.639371:0.573837:0.631890:0.573837:0.000000
x:@0.702689:0.589230:0.710152:0.589230:0.710152:0.573837:0.702689:0.573837:0.000000
Segundo, igualamos las ecuaciones despejadas y encontramos el valor de la :@0.287495:0.612949:0.907620:0.612949:0.907620:0.596560:0.287495:0.596560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita. :@0.287495:0.629546:0.364154:0.629546:0.364154:0.613157:0.287495:0.613157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
66 – 2  = 90 – 3 ;     = 24:@0.502749:0.653265:0.688389:0.653265:0.688389:0.636876:0.502749:0.636876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.547012:0.653265:0.554475:0.653265:0.554475:0.637872:0.547012:0.637872:0.000000
x:@0.617792:0.653265:0.625256:0.653265:0.625256:0.637872:0.617792:0.637872:0.000000
x :@0.644605:0.653265:0.655385:0.653265:0.655385:0.637872:0.644605:0.637872:0.000000:0.000000
Tercero, reemplazamos el valor de   en cualquier ecuación. :@0.287495:0.676984:0.721079:0.676984:0.721079:0.660595:0.287495:0.660595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.540120:0.676984:0.547583:0.676984:0.547583:0.661591:0.540120:0.661591:0.000000
2(24) +   = 66;      = 66 – 48;      = 18:@0.463903:0.700703:0.727234:0.700703:0.727234:0.684314:0.463903:0.684314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.519702:0.700703:0.527184:0.700703:0.527184:0.685310:0.519702:0.685310:0.000000
y:@0.583572:0.700703:0.591054:0.700703:0.591054:0.685310:0.583572:0.685310:0.000000
y:@0.682713:0.700703:0.690195:0.700703:0.690195:0.685310:0.682713:0.685310:0.000000
Solución.:@0.287495:0.724422:0.355162:0.724422:0.355162:0.707784:0.287495:0.707784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La empresa puede exportar, trimestralmente, 24 toneladas de maracuyá y :@0.359050:0.724422:0.907637:0.724422:0.907637:0.708033:0.359050:0.708033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 toneladas de melón.:@0.287495:0.741018:0.459112:0.741018:0.459112:0.724629:0.287495:0.724629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.287495:0.771873:0.353964:0.771873:0.353964:0.755236:0.287495:0.755236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.795592:0.302403:0.795592:0.302403:0.778692:0.287495:0.778692:0.000000:0.000000
Un hotel dispone de 116 habitaciones: unas con dos camas y otras con una cama. :@0.311230:0.795592:0.907668:0.795592:0.907668:0.779203:0.311230:0.779203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En total, hay 200 camas disponibles. ¿Cuántas habitaciones dobles y simples tie­:@0.311230:0.812189:0.903657:0.812189:0.903657:0.795800:0.311230:0.795800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ne el hotel?:@0.311230:0.828785:0.396088:0.828785:0.396088:0.812396:0.311230:0.812396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.287495:0.852504:0.291531:0.852504:0.291531:0.836115:0.287495:0.836115:0.000000
  Identificamos los datos y asignamos las variables.  : habitaciones dobles,  : :@0.311239:0.852504:0.907683:0.852504:0.907683:0.836115:0.311239:0.836115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.708591:0.852504:0.716054:0.852504:0.716054:0.837111:0.708591:0.837111:0.000000
y:@0.892959:0.852504:0.900441:0.852504:0.900441:0.837111:0.892959:0.837111:0.000000
habitaciones simples.:@0.311230:0.869101:0.467863:0.869101:0.467863:0.852712:0.311230:0.852712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.287495:0.905391:0.291531:0.905391:0.291531:0.889002:0.287495:0.889002:0.000000
El sistema de ecuaciones es::@0.311239:0.905391:0.516245:0.905391:0.516245:0.889002:0.311239:0.889002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.528416:0.894829:0.563468:0.894829:0.569043:0.878093:0.533991:0.878093:0.000000:0.000000:0.000000
+ =:@0.542226:0.895553:0.581491:0.895553:0.581491:0.878920:0.542226:0.878920:0.000000:0.000000:0.000000
116:@0.582869:0.894829:0.611250:0.894829:0.611250:0.878093:0.582869:0.878093:0.000000:0.000000:0.000000
2:@0.529237:0.916986:0.538842:0.916986:0.538842:0.900250:0.529237:0.900250:0.000000
x y:@0.537809:0.916986:0.572861:0.916986:0.578436:0.900250:0.543384:0.900250:0.000000:0.000000:0.000000
+ =:@0.551620:0.917710:0.590885:0.917710:0.590885:0.901078:0.551620:0.901078:0.000000:0.000000:0.000000
200:@0.593503:0.916987:0.621884:0.916987:0.621884:0.900251:0.593503:0.900251:0.000000:0.000000:0.000000
Problemas con sistemas :@0.286308:0.063945:0.710318:0.063945:0.710318:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones:@0.286308:0.094120:0.532367:0.094120:0.532367:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.062294:0.108604:0.192158:0.108604:0.192158:0.011516:0.062294:0.011516:0.000000:0.000000
©:@0.067028:0.311166:0.067028:0.306058:0.054946:0.306058:0.054946:0.311166:0.000000
Shutterstock:@0.067028:0.306058:0.067028:0.268340:0.055117:0.268340:0.055117:0.306058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El Ecuador exporta frutas, :@0.076356:0.195660:0.248634:0.195660:0.248634:0.180761:0.076356:0.180761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que representa :@0.127920:0.210748:0.248636:0.210748:0.248636:0.195849:0.127920:0.195849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
centenas de millones de :@0.082286:0.225835:0.248638:0.225835:0.248638:0.210936:0.082286:0.210936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dólares.:@0.193924:0.240923:0.244969:0.240923:0.244969:0.226024:0.193924:0.226024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.142621:0.156021:0.224305:0.156021:0.224305:0.139120:0.142621:0.139120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.145807:0.169851:0.220856:0.169851:0.220856:0.152951:0.145807:0.152951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.150700:0.169851:0.154324:0.169851:0.154324:0.152951:0.150700:0.152951:0.000000
Pasos para resolver :@0.119191:0.448448:0.248635:0.448448:0.248635:0.433549:0.119191:0.433549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas con sistemas :@0.084078:0.463535:0.248635:0.463535:0.248635:0.448636:0.084078:0.448636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones:@0.148725:0.478623:0.244968:0.478623:0.244968:0.463724:0.148725:0.463724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Interpreta el enunciado, :@0.078013:0.497269:0.248633:0.497269:0.248633:0.482370:0.078013:0.482370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identifica los datos y las :@0.088483:0.512356:0.248635:0.512356:0.248635:0.497457:0.088483:0.497457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas, y asigna una :@0.086105:0.527444:0.248635:0.527444:0.248635:0.512545:0.086105:0.512545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable para cada una.:@0.092102:0.542532:0.244968:0.542532:0.244968:0.527633:0.092102:0.527633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Plantea las ecuaciones :@0.091717:0.561177:0.248636:0.561177:0.248636:0.546278:0.091717:0.546278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes.:@0.128036:0.576265:0.244968:0.576265:0.244968:0.561366:0.128036:0.561366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Resuelve el sistema e :@0.100445:0.594911:0.248635:0.594911:0.248635:0.580012:0.100445:0.580012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpreta el resultado.:@0.099155:0.609998:0.244966:0.609998:0.244966:0.595099:0.099155:0.595099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Comprueba la solución.:@0.082989:0.628644:0.244968:0.628644:0.244968:0.613745:0.082989:0.613745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica estos pasos en la :@0.096943:0.647290:0.247983:0.647290:0.247983:0.633296:0.096943:0.633296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución de problemas .:@0.084111:0.662378:0.244966:0.662378:0.244966:0.648384:0.084111:0.648384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116009:0.416006:0.223549:0.416006:0.223549:0.399105:0.116009:0.399105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al siguiente enlace: :@0.070509:0.762158:0.248638:0.762158:0.248638:0.747259:0.070509:0.747259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt13:@0.143751:0.777246:0.244967:0.777246:0.244967:0.762121:0.143751:0.762121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime a partir de las :@0.102172:0.795892:0.247983:0.795892:0.247983:0.781898:0.102172:0.781898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
páginas 6 y 7 y practica :@0.097447:0.810979:0.247981:0.810979:0.247981:0.796985:0.097447:0.796985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas con sistemas :@0.092589:0.826067:0.247983:0.826067:0.247983:0.812073:0.092589:0.812073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones.:@0.152295:0.841154:0.244967:0.841154:0.244967:0.827161:0.152295:0.827161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146918:0.729433:0.197388:0.729433:0.197388:0.712533:0.146918:0.712533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.56. :@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 y plantear problemas de texto con enunciados que involucren funciones lineales y sistemas de dos ecuaciones :@0.338697:0.954959:0.903647:0.954959:0.903647:0.944530:0.338697:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con dos incógnitas; e interpretar y juzgar la validez de las soluciones obtenidas dentro del contexto del problema.:@0.290067:0.965521:0.856339:0.965521:0.856339:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000