152:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.56.:@0.096359:0.938735:0.142269:0.938735:0.142269:0.927980:0.096359:0.927980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver y plantear problemas, de texto con enunciados que involucren funciones lineales y sistemas de dos ecuaciones lineales con dos incógnitas; e interpretar :@0.142269:0.938735:0.905707:0.938735:0.905707:0.928763:0.142269:0.928763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903084:0.938735:0.905652:0.938735:0.905652:0.928763:0.903084:0.928763:0.000000
y juzgar la validez de las soluciones obtenidas dentro del contexto del problema.:@0.096359:0.948794:0.472006:0.948794:0.472006:0.938823:0.096359:0.938823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas con sistemas de ecuaciones :@0.305303:0.084620:0.869420:0.084620:0.869420:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 5:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nuestro país exporta a otros países una gran variedad de frutas, como maracuyá y melón.:@0.305303:0.223214:0.903610:0.223214:0.903610:0.207544:0.305303:0.207544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una empresa necesita 10 horas para lavar el maracuyá y 30 horas para el empacado. :@0.305303:0.246933:0.907682:0.246933:0.907682:0.231263:0.305303:0.231263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para lavar el melón se requieren 5 horas, y para empacarlo, 10 horas. Si la empresa, :@0.305303:0.263529:0.907662:0.263529:0.907662:0.247859:0.305303:0.247859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en horas por mes, dispone de 330 para lavado y 900 para empacado, ¿cuántas :@0.305303:0.280125:0.907590:0.280125:0.907590:0.264456:0.305303:0.264456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
toneladas de fruta se pueden exportar trimestralmente?:@0.305303:0.296722:0.714959:0.296722:0.714959:0.281052:0.305303:0.281052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proceso:@0.344160:0.325024:0.402844:0.325024:0.402844:0.309446:0.344160:0.309446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Maracuyá ( ):@0.464292:0.325024:0.559445:0.325024:0.559445:0.309446:0.464292:0.309446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545843:0.325024:0.554185:0.325024:0.554185:0.309471:0.545843:0.309471:0.000000
Melón ( ):@0.629956:0.325024:0.695324:0.325024:0.695324:0.309446:0.629956:0.309446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.682241:0.325024:0.690566:0.325024:0.690566:0.309471:0.682241:0.309471:0.000000
Tiempo:@0.791868:0.325024:0.848238:0.325024:0.848238:0.309446:0.791868:0.309446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lavado:@0.349404:0.350497:0.397617:0.350497:0.397617:0.336251:0.349404:0.336251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.500310:0.350497:0.516660:0.350497:0.516660:0.336251:0.500310:0.336251:0.000000:0.000000
x:@0.516660:0.350497:0.523445:0.350497:0.523445:0.335623:0.516660:0.335623:0.000000
5:@0.655152:0.350497:0.663327:0.350497:0.663327:0.336251:0.655152:0.336251:0.000000
y:@0.663327:0.350497:0.670129:0.350497:0.670129:0.335623:0.663327:0.335623:0.000000
330:@0.807783:0.350497:0.832309:0.350497:0.832309:0.336251:0.807783:0.336251:0.000000:0.000000:0.000000
Empacado:@0.337761:0.374184:0.409243:0.374184:0.409243:0.359939:0.337761:0.359939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.500293:0.374184:0.516643:0.374184:0.516643:0.359939:0.500293:0.359939:0.000000:0.000000
x:@0.516643:0.374184:0.523428:0.374184:0.523428:0.359310:0.516643:0.359310:0.000000
10:@0.651064:0.374184:0.667415:0.374184:0.667415:0.359939:0.651064:0.359939:0.000000:0.000000
y:@0.667415:0.374184:0.674216:0.374184:0.674216:0.359310:0.667415:0.359310:0.000000
900:@0.807783:0.374184:0.832309:0.374184:0.832309:0.359939:0.807783:0.359939:0.000000:0.000000:0.000000
El sistema de ecuaciones es: :@0.305303:0.418753:0.514400:0.418753:0.514400:0.403083:0.305303:0.403083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.526688:0.407152:0.544470:0.407152:0.544470:0.391482:0.526688:0.391482:0.000000:0.000000
x:@0.543858:0.407152:0.551764:0.407152:0.556983:0.391482:0.549078:0.391482:0.000000
+:@0.556790:0.407829:0.566907:0.407829:0.566907:0.392257:0.556790:0.392257:0.000000
5:@0.568621:0.407152:0.577613:0.407152:0.577613:0.391482:0.568621:0.391482:0.000000
y:@0.576944:0.407152:0.585052:0.407152:0.590272:0.391482:0.582164:0.391482:0.000000
=:@0.591813:0.407829:0.601930:0.407829:0.601930:0.392257:0.591813:0.392257:0.000000
330:@0.604380:0.407152:0.630953:0.407152:0.630953:0.391482:0.604380:0.391482:0.000000:0.000000:0.000000
30:@0.527832:0.427897:0.545615:0.427897:0.545615:0.412228:0.527832:0.412228:0.000000:0.000000
x:@0.545011:0.427897:0.552916:0.427897:0.558136:0.412228:0.550230:0.412228:0.000000
+:@0.557941:0.428575:0.568058:0.428575:0.568058:0.413002:0.557941:0.413002:0.000000
10:@0.568629:0.427897:0.586412:0.427897:0.586412:0.412228:0.568629:0.412228:0.000000:0.000000
y:@0.586525:0.427897:0.594633:0.427897:0.599853:0.412228:0.591745:0.412228:0.000000
=:@0.601393:0.428575:0.611510:0.428575:0.611510:0.413002:0.601393:0.413002:0.000000
900:@0.613961:0.427897:0.640534:0.427897:0.640534:0.412228:0.613961:0.412228:0.000000:0.000000:0.000000
; el sistema equivalente es: :@0.642018:0.417367:0.835821:0.417367:0.835821:0.401698:0.642018:0.401698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.846436:0.407147:0.855428:0.407147:0.855428:0.391477:0.846436:0.391477:0.000000
x y:@0.854563:0.407152:0.887381:0.407152:0.892601:0.391482:0.859783:0.391482:0.000000:0.000000:0.000000
+ =:@0.867494:0.407829:0.904258:0.407829:0.904258:0.392257:0.867494:0.392257:0.000000:0.000000:0.000000
66:@0.907078:0.407152:0.924860:0.407152:0.924860:0.391482:0.907078:0.391482:0.000000:0.000000
3:@0.846561:0.427897:0.855554:0.427897:0.855554:0.412228:0.846561:0.412228:0.000000
x y:@0.854144:0.427897:0.886962:0.427897:0.892182:0.412228:0.859364:0.412228:0.000000:0.000000:0.000000
+ =:@0.867075:0.428575:0.903840:0.428575:0.903840:0.413002:0.867075:0.413002:0.000000:0.000000:0.000000
90:@0.906290:0.427897:0.924073:0.427897:0.924073:0.412228:0.906290:0.412228:0.000000:0.000000
El sistema equivalente es: :@0.305303:0.464857:0.495030:0.464857:0.495030:0.449187:0.305303:0.449187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.185721:0.452889:0.203504:0.452889:0.203504:0.437219:0.185721:0.437219:0.000000:0.000000
x:@0.202893:0.452889:0.210799:0.452889:0.216018:0.437219:0.208113:0.437219:0.000000
+:@0.215824:0.453566:0.225940:0.453566:0.225940:0.437993:0.215824:0.437993:0.000000
5:@0.227654:0.452889:0.236647:0.452889:0.236647:0.437219:0.227654:0.437219:0.000000
y:@0.235979:0.452889:0.244087:0.452889:0.249307:0.437219:0.241199:0.437219:0.000000
=:@0.250846:0.453566:0.260963:0.453566:0.260963:0.437993:0.250846:0.437993:0.000000
330:@0.263414:0.452889:0.289987:0.452889:0.289987:0.437219:0.263414:0.437219:0.000000:0.000000:0.000000
30:@0.186865:0.473634:0.204648:0.473634:0.204648:0.457964:0.186865:0.457964:0.000000:0.000000
x:@0.204044:0.473634:0.211950:0.473634:0.217169:0.457964:0.209264:0.457964:0.000000
+:@0.216976:0.474312:0.227093:0.474312:0.227093:0.458739:0.216976:0.458739:0.000000
10:@0.227664:0.473634:0.245447:0.473634:0.245447:0.457964:0.227664:0.457964:0.000000:0.000000
y:@0.245560:0.473634:0.253668:0.473634:0.258888:0.457964:0.250780:0.457964:0.000000
=:@0.260427:0.474312:0.270544:0.474312:0.270544:0.458739:0.260427:0.458739:0.000000
900:@0.272995:0.473634:0.299567:0.473634:0.299567:0.457964:0.272995:0.457964:0.000000:0.000000:0.000000
; el sistema equivalente es: :@0.301051:0.463104:0.494855:0.463104:0.494855:0.447434:0.301051:0.447434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.505469:0.452884:0.514462:0.452884:0.514462:0.437214:0.505469:0.437214:0.000000
x y:@0.513598:0.452889:0.546416:0.452889:0.551636:0.437219:0.518818:0.437219:0.000000:0.000000:0.000000
+ =:@0.526529:0.453566:0.563292:0.453566:0.563292:0.437993:0.526529:0.437993:0.000000:0.000000:0.000000
66:@0.566111:0.452889:0.583894:0.452889:0.583894:0.437219:0.566111:0.437219:0.000000:0.000000
3:@0.505595:0.473634:0.514588:0.473634:0.514588:0.457964:0.505595:0.457964:0.000000
x y:@0.513180:0.473634:0.545997:0.473634:0.551217:0.457964:0.518399:0.457964:0.000000:0.000000:0.000000
+ =:@0.526110:0.474312:0.562873:0.474312:0.562873:0.458739:0.526110:0.458739:0.000000:0.000000:0.000000
90:@0.565324:0.473634:0.583107:0.473634:0.583107:0.457964:0.565324:0.457964:0.000000:0.000000
Para resolver el sistema de ecuaciones, podemos utilizar cualquier método. En este :@0.305303:0.494616:0.907721:0.494616:0.907721:0.478946:0.305303:0.478946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso, utilizaremos el de igualación.:@0.305303:0.511212:0.557465:0.511212:0.557465:0.495543:0.305303:0.495543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.305303:0.534931:0.368584:0.534931:0.368584:0.518031:0.305303:0.518031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, despejamos la variable   en cada ecuación.:@0.368584:0.534931:0.690363:0.534931:0.690363:0.519262:0.368584:0.519262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.546720:0.534931:0.554202:0.534931:0.554202:0.518570:0.546720:0.518570:0.000000
y:@0.305303:0.558650:0.312785:0.558650:0.312785:0.542289:0.305303:0.542289:0.000000
 = 66 – 2  :@0.312785:0.558650:0.387601:0.558650:0.387601:0.542981:0.312785:0.542981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.376102:0.558650:0.383565:0.558650:0.383565:0.542289:0.376102:0.542289:0.000000
                   = 90 – 3:@0.425912:0.558650:0.565317:0.558650:0.565317:0.542981:0.425912:0.542981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.494518:0.558650:0.502000:0.558650:0.502000:0.542289:0.494518:0.542289:0.000000
x:@0.565317:0.558650:0.572780:0.558650:0.572780:0.542289:0.565317:0.542289:0.000000
Segundo:@0.305303:0.582369:0.377171:0.582369:0.377171:0.565469:0.305303:0.565469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, igualamos las ecuaciones despejadas y encontramos el valor de la :@0.377171:0.582369:0.907684:0.582369:0.907684:0.566700:0.377171:0.566700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita. :@0.305303:0.598966:0.381962:0.598966:0.381962:0.583296:0.305303:0.583296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
66 – 2  = 90 – 3 ;  = 24:@0.305303:0.622685:0.478836:0.622685:0.478836:0.607015:0.305303:0.607015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.349566:0.622685:0.357030:0.622685:0.357030:0.606323:0.349566:0.606323:0.000000
x x :@0.420347:0.622685:0.445832:0.622685:0.445832:0.606323:0.420347:0.606323:0.000000:0.000000:0.000000:0.000000
Tercero:@0.305303:0.646404:0.363866:0.646404:0.363866:0.629503:0.305303:0.629503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, reemplazamos el valor de   en cualquier ecuación. :@0.363866:0.646404:0.744065:0.646404:0.744065:0.630734:0.363866:0.630734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.563106:0.646404:0.570569:0.646404:0.570569:0.630042:0.563106:0.630042:0.000000
2(24) +   = 66;   = 66 –48;   = 18:@0.305303:0.670123:0.540385:0.670123:0.540385:0.654453:0.305303:0.654453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.361102:0.670123:0.368584:0.670123:0.368584:0.653761:0.361102:0.653761:0.000000
y:@0.412865:0.670123:0.420347:0.670123:0.420347:0.653761:0.412865:0.653761:0.000000
y:@0.495863:0.670123:0.503345:0.670123:0.503345:0.653761:0.495863:0.653761:0.000000
Solución:@0.305303:0.688493:0.365964:0.688493:0.365964:0.673380:0.305303:0.673380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La empresa puede exportar trimestralmente, 24 toneladas de maracuyá y :@0.305303:0.712531:0.907732:0.712531:0.907732:0.696862:0.305303:0.696862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903649:0.712531:0.907684:0.712531:0.907684:0.696862:0.903649:0.696862:0.000000
18 toneladas de melón.:@0.305303:0.729128:0.476920:0.729128:0.476920:0.713458:0.305303:0.713458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.305303:0.747464:0.369297:0.747464:0.369297:0.732351:0.305303:0.732351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.305303:0.771504:0.320819:0.771504:0.320819:0.754368:0.305303:0.754368:0.000000:0.000000
  Un hotel dispone de 116 habitaciones, unas con dos camas y otras con una :@0.320819:0.771504:0.907738:0.771504:0.907738:0.755834:0.320819:0.755834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cama. En total hay 200 camas disponibles. ¿Cuántas habitaciones dobles y sim-:@0.333792:0.788100:0.903626:0.788100:0.903626:0.772430:0.333792:0.772430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ples tiene el hotel?:@0.333792:0.804697:0.471058:0.804697:0.471058:0.789027:0.333792:0.789027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.828416:0.309339:0.828416:0.309339:0.812746:0.305303:0.812746:0.000000
Definimos las variables y ordenamos los datos en una tabla  : habitaciones :@0.333792:0.828416:0.907611:0.828416:0.907611:0.812746:0.333792:0.812746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.792972:0.828595:0.800122:0.828595:0.800122:0.812843:0.792972:0.812843:0.000000
dobles,  : habitaciones simples:@0.333792:0.845012:0.558774:0.845012:0.558774:0.829342:0.333792:0.829342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.390548:0.845192:0.397900:0.845192:0.397900:0.829439:0.390548:0.829439:0.000000
 :@0.305303:0.881303:0.309339:0.881303:0.309339:0.865633:0.305303:0.865633:0.000000
El sistema de ecuaciones es::@0.333792:0.881303:0.538853:0.881303:0.538853:0.865633:0.333792:0.865633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.538855:0.897650:0.542891:0.897650:0.542891:0.881980:0.538855:0.881980:0.000000
x y:@0.551027:0.870700:0.586079:0.870700:0.591653:0.853964:0.556602:0.853964:0.000000:0.000000:0.000000
+ =:@0.564838:0.871424:0.604104:0.871424:0.604104:0.854791:0.564838:0.854791:0.000000:0.000000:0.000000
116:@0.605482:0.870700:0.633862:0.870700:0.633862:0.853964:0.605482:0.853964:0.000000:0.000000:0.000000
2:@0.551849:0.892857:0.561454:0.892857:0.561454:0.876121:0.551849:0.876121:0.000000
x y:@0.560422:0.892857:0.595472:0.892857:0.601046:0.876121:0.565996:0.876121:0.000000:0.000000:0.000000
+ =:@0.574231:0.893581:0.613497:0.893581:0.613497:0.876949:0.574231:0.876949:0.000000:0.000000:0.000000
200:@0.616114:0.892857:0.644495:0.892857:0.644495:0.876121:0.616114:0.876121:0.000000:0.000000:0.000000
Reflexiona:@0.311168:0.166144:0.394996:0.166144:0.394996:0.149243:0.311168:0.149243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Cuando las rectas que conforman el sistema de ecuaciones son :@0.394996:0.166144:0.900760:0.166144:0.900760:0.150474:0.394996:0.150474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.896651:0.166144:0.900687:0.166144:0.900687:0.150474:0.896651:0.150474:0.000000
paralelas, ¿existe solución?:@0.311168:0.182740:0.504822:0.182740:0.504822:0.167070:0.311168:0.167070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El Ecuador exporta frutas, lo :@0.096359:0.390139:0.265974:0.390139:0.265974:0.377319:0.096359:0.377319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que representa centenas de :@0.096359:0.403718:0.267152:0.403718:0.267152:0.390897:0.096359:0.390897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
millones de dólares.:@0.096359:0.417297:0.215347:0.417297:0.215347:0.404476:0.096359:0.404476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 35389024 :@0.093748:0.370701:0.093748:0.298764:0.082360:0.298764:0.082360:0.370701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pasos para resolver :@0.105654:0.497197:0.235098:0.497197:0.235098:0.482952:0.105654:0.482952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas con sistemas :@0.105654:0.512285:0.270211:0.512285:0.270211:0.498040:0.105654:0.498040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones:@0.105654:0.527372:0.201897:0.527372:0.201897:0.513127:0.105654:0.513127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Interpreta el :@0.105654:0.549589:0.204845:0.549589:0.204845:0.535344:0.105654:0.535344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enunciado, identifica :@0.119894:0.564677:0.263009:0.564677:0.263009:0.550431:0.119894:0.550431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los datos y las :@0.119894:0.579764:0.215014:0.579764:0.215014:0.565519:0.119894:0.565519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas, asigna :@0.119894:0.594852:0.242235:0.594852:0.242235:0.580607:0.119894:0.580607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una variable.:@0.119894:0.609939:0.204056:0.609939:0.204056:0.595694:0.119894:0.595694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Plantea las ecuaciones :@0.105654:0.628585:0.269339:0.628585:0.269339:0.614340:0.105654:0.614340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes.:@0.119894:0.643673:0.236824:0.643673:0.236824:0.629428:0.119894:0.629428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Resuelve el sistema e :@0.105654:0.662319:0.260612:0.662319:0.260612:0.648073:0.105654:0.648073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpreta el resultado.:@0.119894:0.677406:0.265705:0.677406:0.265705:0.663161:0.119894:0.663161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Comprueba la :@0.105654:0.696052:0.216687:0.696052:0.216687:0.681807:0.105654:0.681807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.119894:0.711139:0.177941:0.711139:0.177941:0.696894:0.119894:0.696894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.135707:0.472171:0.257788:0.472171:0.257788:0.455270:0.135707:0.455270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.105962:0.789820:0.157107:0.789820:0.157107:0.774707:0.105962:0.774707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.157107:0.789820:0.240833:0.789820:0.240833:0.775575:0.157107:0.775575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.105962:0.804908:0.156403:0.804908:0.156403:0.790663:0.105962:0.790663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.156403:0.804908:0.159452:0.804908:0.159452:0.789782:0.156403:0.789782:0.000000
lynk.ec/10m15:@0.105962:0.819995:0.204114:0.819995:0.204114:0.804870:0.105962:0.804870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.105962:0.842212:0.164461:0.842212:0.164461:0.827099:0.105962:0.827099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a partir de :@0.164293:0.842212:0.237818:0.842212:0.237818:0.827967:0.164293:0.827967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la página 6 y :@0.105962:0.857299:0.191081:0.857299:0.191081:0.843054:0.105962:0.843054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
practica :@0.190913:0.857299:0.249061:0.857299:0.249061:0.842187:0.190913:0.842187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas con sistemas :@0.105962:0.872387:0.267002:0.872387:0.267002:0.858142:0.105962:0.858142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones.:@0.105962:0.887475:0.202755:0.887475:0.202755:0.873229:0.105962:0.873229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.120771:0.764190:0.271672:0.764190:0.271672:0.747289:0.120771:0.747289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No:@0.510711:0.180351:0.524431:0.180351:0.524431:0.170379:0.510711:0.170379:0.000000:0.000000