154:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
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
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Ecuación lineal con dos incógnitas:@0.287495:0.352095:0.632607:0.352095:0.632607:0.330585:0.287495:0.330585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación lineal con dos incógnitas es una expresión algebraica de la forma:@0.287495:0.374876:0.868182:0.374876:0.868182:0.358487:0.287495:0.358487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by:@0.555624:0.395343:0.606669:0.395343:0.606669:0.378982:0.555624:0.378982:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.625944:0.395343:0.633610:0.395343:0.633610:0.378982:0.625944:0.378982:0.000000
+:@0.576834:0.394928:0.586951:0.394928:0.586951:0.377986:0.576834:0.377986:0.000000
=:@0.612013:0.394928:0.622130:0.394928:0.622130:0.377986:0.612013:0.377986:0.000000
Donde:  ,   son las incógnitas o variables,  ,  , y   son números reales.:@0.287495:0.418760:0.793329:0.418760:0.793329:0.402372:0.287495:0.402372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.345413:0.418760:0.367600:0.418760:0.367600:0.402399:0.345413:0.402399:0.000000:0.000000:0.000000
a b:@0.590976:0.418760:0.616757:0.418760:0.616757:0.402399:0.590976:0.402399:0.000000:0.000000:0.000000
c:@0.636143:0.418760:0.643809:0.418760:0.643809:0.402399:0.636143:0.402399:0.000000
Soluciones enteras:@0.287495:0.447872:0.450568:0.447872:0.450568:0.429435:0.287495:0.429435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una solución entera de la ecuación lineal es un par ordenado ( ,  ) donde las dos :@0.287495:0.471282:0.907659:0.471282:0.907659:0.454893:0.287495:0.454893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.763113:0.471282:0.787032:0.471282:0.787032:0.454920:0.763113:0.454920:0.000000:0.000000:0.000000
componentes son números enteros y satisfacen la igualdad::@0.287495:0.487878:0.726143:0.487878:0.726143:0.471489:0.287495:0.471489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by:@0.504042:0.511910:0.555086:0.511910:0.555086:0.495549:0.504042:0.495549:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.574362:0.511910:0.582028:0.511910:0.582028:0.495549:0.574362:0.495549:0.000000
+:@0.525252:0.511495:0.535369:0.511495:0.535369:0.494553:0.525252:0.494553:0.000000
=:@0.560431:0.511495:0.570547:0.511495:0.570547:0.494553:0.560431:0.494553:0.000000
  con    ,:@0.586705:0.511602:0.647784:0.511584:0.647784:0.495196:0.586705:0.495213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.635622:0.511584:0.658804:0.511584:0.658804:0.495223:0.635622:0.495223:0.000000:0.000000
∈:@0.662121:0.511170:0.675260:0.511170:0.675260:0.494227:0.662121:0.494227:0.000000
:@0.677195:0.512456:0.689486:0.512456:0.689486:0.495707:0.677195:0.495707:0.000000
nidad de conocimientos:@0.306727:0.320966:0.480398:0.320966:0.480398:0.305602:0.306727:0.305602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.321752:0.297460:0.321752:0.297460:0.304616:0.284892:0.304616:0.000000
Pienso y progreso:@0.294883:0.266074:0.417347:0.266074:0.417347:0.250710:0.294883:0.250710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué es importante cultivar nuestros propios alimentos?:@0.294883:0.283467:0.693952:0.283467:0.693952:0.268568:0.294883:0.268568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un terreno tiene 10 000 m  (una hectárea) se divide en dos partes: una para produc-:@0.287495:0.168345:0.903684:0.168345:0.903684:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.481091:0.162298:0.486334:0.162298:0.486334:0.152743:0.481091:0.152743:0.000000
ción de pastos, y otra para producción de verduras y hortalizas. Para el efecto, el terre-:@0.287502:0.184941:0.903759:0.184941:0.903759:0.168553:0.287502:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no se divide en lotes de 200 m , destinados a verduras y hortalizas, y de 500 m  para :@0.287502:0.201538:0.907681:0.201538:0.907681:0.185149:0.287502:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.513313:0.195490:0.518555:0.195490:0.518555:0.185936:0.513313:0.185936:0.000000
2:@0.861747:0.195490:0.866990:0.195490:0.866990:0.185936:0.861747:0.185936:0.000000
pastizales. ¿Cuántos lotes para pastos y cuántos para verduras y hortalizas pueden :@0.287499:0.218134:0.907605:0.218134:0.907605:0.201745:0.287499:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenerse? :@0.287499:0.234731:0.372284:0.234731:0.372284:0.218342:0.287499:0.218342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones lineales con dos incógnitas. :@0.286308:0.060073:0.868289:0.060073:0.868289:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Soluciones enteras:@0.286308:0.090250:0.563717:0.090250:0.563717:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Paso 1.:@0.292258:0.614010:0.344509:0.614010:0.344509:0.598433:0.292258:0.598433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Designamos las variables que intervienen en el problema.:@0.348178:0.614010:0.732404:0.614010:0.732404:0.599111:0.348178:0.599111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Núm de lotes de verduras y hortalizas:  ; Núm.de lotes para pastos: :@0.292258:0.632656:0.737832:0.632656:0.737832:0.617757:0.292258:0.617757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.548767:0.632656:0.555552:0.632656:0.555552:0.617782:0.548767:0.617782:0.000000
y:@0.737832:0.632656:0.744633:0.632656:0.744633:0.617782:0.737832:0.617782:0.000000
Ecuación que modela el problema: 200x + 500y = 10 000 ÷ 100;    2x + 5y = 10:@0.292258:0.651302:0.812199:0.651302:0.812199:0.636403:0.292258:0.636403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejamos y: :@0.292258:0.675845:0.393221:0.675845:0.393221:0.660946:0.292258:0.660946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.397410:0.676774:0.404891:0.676774:0.404891:0.660412:0.397410:0.660412:0.000000
x:@0.472484:0.676774:0.479947:0.676774:0.479947:0.660412:0.472484:0.660412:0.000000
=:@0.410235:0.676359:0.420352:0.676359:0.420352:0.659417:0.410235:0.659417:0.000000
−:@0.445045:0.676359:0.455162:0.676359:0.455162:0.659417:0.445045:0.659417:0.000000
20:@0.423890:0.676774:0.441783:0.676774:0.441783:0.660385:0.423890:0.660385:0.000000:0.000000
2:@0.459326:0.667853:0.468319:0.667853:0.468319:0.651464:0.459326:0.651464:0.000000
5:@0.459497:0.687775:0.468490:0.687775:0.468490:0.671386:0.459497:0.671386:0.000000
Paso 2.:@0.292258:0.706674:0.344509:0.706674:0.344509:0.691096:0.292258:0.691096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por las condiciones iniciales y, x  deben ser número enteros, entonces asignamos :@0.348178:0.706674:0.888669:0.706674:0.888669:0.691775:0.348178:0.691775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores múltiplos de 5 a la variable x y obtenemos los valores de y, completamos la tabla.:@0.292258:0.721761:0.881264:0.721761:0.881264:0.706862:0.292258:0.706862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.292258:0.788650:0.344509:0.788650:0.344509:0.773072:0.292258:0.773072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretamos la tabla y respondemos la pregunta: :@0.348178:0.788650:0.688749:0.788650:0.688749:0.773751:0.348178:0.773751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puede dividir la propiedad en (5, 18), (10, 16), (15, 14), (20, 12), (25, 10), (30; 8), (35, 6), es decir :@0.292258:0.807295:0.888241:0.807295:0.888241:0.792396:0.292258:0.792396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede obtener 5, 10, 15, 20, 25, 30 o 35 lotes de 200 m  para verduras y hortalizas y 18, 16, :@0.292258:0.822383:0.891659:0.822385:0.891659:0.807486:0.292258:0.807484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.654018:0.816888:0.658784:0.816888:0.658784:0.808202:0.654018:0.808202:0.000000
14, 12, 10, 8 o 6 lotes de 500 m  para pastizales, respectivamente.:@0.292258:0.837473:0.722476:0.837473:0.722476:0.822574:0.292258:0.822574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.495728:0.831976:0.500494:0.831976:0.500494:0.823289:0.495728:0.823289:0.000000
Paso 4.:@0.292261:0.855453:0.344512:0.855453:0.344512:0.839875:0.292261:0.839875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tomamos un par ordenado, por ejemplo (5, 18) y multiplicamos: :@0.348181:0.855453:0.791882:0.855453:0.791882:0.840553:0.348181:0.840553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5(200) + 18(500) = 10 000, lo mismo sucede en cada caso, corresponde al área total del :@0.292261:0.874098:0.873327:0.874098:0.873327:0.859199:0.292261:0.859199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terreno.:@0.292261:0.889186:0.343909:0.889186:0.343909:0.874287:0.292261:0.874287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la gráfica se observan todos los puntos sobre la recta y ningún punto tiene coordenada :@0.292261:0.907832:0.897651:0.907832:0.897651:0.892933:0.292261:0.892933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.353121:0.907832:0.356790:0.907832:0.356790:0.892933:0.353121:0.892933:0.000000
negativa.:@0.292261:0.922919:0.352855:0.922919:0.352855:0.908020:0.292261:0.908020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.285359:0.562979:0.440252:0.562979:0.440252:0.547615:0.285359:0.547615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.285358:0.590593:0.299584:0.590593:0.299584:0.573693:0.285358:0.573693:0.000000:0.000000
  Resolvamos el problema inicial.:@0.299584:0.590593:0.542792:0.590593:0.542792:0.574204:0.299584:0.574204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.536891:0.431598:0.536891:0.431598:0.521527:0.306727:0.521527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.537677:0.297220:0.537677:0.297220:0.520541:0.285132:0.520541:0.000000
x:@0.321190:0.743271:0.329097:0.743271:0.329097:0.727907:0.321190:0.727907:0.000000
5:@0.378047:0.743271:0.386222:0.743271:0.386222:0.728372:0.378047:0.728372:0.000000
10:@0.449932:0.743271:0.466282:0.743271:0.466282:0.728372:0.449932:0.728372:0.000000:0.000000
15:@0.525904:0.743271:0.542254:0.743271:0.542254:0.728372:0.525904:0.728372:0.000000:0.000000
20:@0.601876:0.743271:0.618226:0.743271:0.618226:0.728372:0.601876:0.728372:0.000000:0.000000
25:@0.677848:0.743271:0.694198:0.743271:0.694198:0.728372:0.677848:0.728372:0.000000:0.000000
30:@0.753820:0.743271:0.770171:0.743271:0.770171:0.728372:0.753820:0.728372:0.000000:0.000000
35:@0.829792:0.743271:0.846143:0.743271:0.846143:0.728372:0.829792:0.728372:0.000000:0.000000
y:@0.321156:0.764658:0.329063:0.764658:0.329063:0.749294:0.321156:0.749294:0.000000
18:@0.373926:0.764658:0.390276:0.764658:0.390276:0.749759:0.373926:0.749759:0.000000:0.000000
16:@0.449898:0.764658:0.466249:0.764658:0.466249:0.749759:0.449898:0.749759:0.000000:0.000000
14:@0.525870:0.764658:0.542221:0.764658:0.542221:0.749759:0.525870:0.749759:0.000000:0.000000
12:@0.601842:0.764658:0.618193:0.764658:0.618193:0.749759:0.601842:0.749759:0.000000:0.000000
10:@0.677815:0.764658:0.694165:0.764658:0.694165:0.749759:0.677815:0.749759:0.000000:0.000000
8:@0.757874:0.764658:0.766049:0.764658:0.766049:0.749759:0.757874:0.749759:0.000000
6:@0.833846:0.764658:0.842022:0.764658:0.842022:0.749759:0.833846:0.749759:0.000000
¿Por dos puntos, cuántas :@0.078531:0.191718:0.247762:0.191718:0.247762:0.176819:0.078531:0.176819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas se pueden trazar?:@0.083255:0.205549:0.244095:0.205549:0.244095:0.190650:0.083255:0.190650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.162839:0.227756:0.162839:0.227756:0.145939:0.108521:0.145939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.327248:0.068421:0.284422:0.056510:0.284422:0.056510:0.327248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cultivo de verduras:@0.076177:0.364107:0.191953:0.364107:0.191953:0.350698:0.076177:0.350698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y hortalizas.:@0.076177:0.376679:0.145908:0.376679:0.145908:0.363269:0.076177:0.363269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones lineales se :@0.071810:0.461964:0.247241:0.461964:0.247241:0.447065:0.071810:0.447065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizan para determinar el :@0.069281:0.475794:0.247240:0.475794:0.247240:0.460895:0.069281:0.460895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de productos a :@0.085514:0.489624:0.247240:0.489624:0.247240:0.474725:0.085514:0.474725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fin de obtener mayor :@0.102718:0.503455:0.247240:0.503455:0.247240:0.488556:0.102718:0.488556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rentabilidad o para :@0.117645:0.517285:0.247241:0.517285:0.247241:0.502386:0.117645:0.502386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar los tiempos :@0.088345:0.531115:0.247240:0.531115:0.247240:0.516216:0.088345:0.516216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimos o máximos en la :@0.072246:0.544946:0.247241:0.544946:0.247241:0.530047:0.072246:0.530047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producción de ciertos :@0.097023:0.558776:0.247240:0.558776:0.247240:0.543877:0.097023:0.543877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
artículos.:@0.184102:0.572606:0.243571:0.572606:0.243571:0.557707:0.184102:0.557707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde, ¿cómo puedes :@0.084626:0.705993:0.246586:0.705993:0.246586:0.691119:0.084626:0.691119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimizar la producción:@0.091377:0.719824:0.243571:0.719824:0.243571:0.704950:0.091377:0.704950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una fábrica?:@0.146191:0.733654:0.243571:0.733654:0.243571:0.718780:0.146191:0.718780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.100353:0.429523:0.236414:0.429523:0.236414:0.412622:0.100353:0.412622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.050701:0.837391:0.064451:0.837391:0.064451:0.825301:0.050701:0.825301:0.000000:0.000000
5:@0.057576:0.890791:0.064451:0.890791:0.064451:0.878701:0.057576:0.878701:0.000000
10:@0.050701:0.872435:0.064451:0.872435:0.064451:0.860345:0.050701:0.860345:0.000000:0.000000
15:@0.050701:0.854631:0.064451:0.854631:0.064451:0.842541:0.050701:0.842541:0.000000:0.000000
25:@0.050701:0.819246:0.064451:0.819246:0.064451:0.807156:0.050701:0.807156:0.000000:0.000000
30:@0.050701:0.801513:0.064451:0.801513:0.064451:0.789423:0.050701:0.789423:0.000000:0.000000
35:@0.050701:0.783378:0.064451:0.783378:0.064451:0.771288:0.050701:0.771288:0.000000:0.000000
5:@0.089526:0.915072:0.096401:0.915072:0.096401:0.902982:0.089526:0.902982:0.000000
10 15 20 25 30 35:@0.110259:0.915072:0.242134:0.915072:0.242134:0.902982:0.110259:0.902982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.057831:0.915072:0.064706:0.915072:0.064706:0.902982:0.057831:0.902982:0.000000
y:@0.057282:0.768466:0.062454:0.768466:0.062454:0.757878:0.057282:0.757878:0.000000
x:@0.251101:0.914283:0.256272:0.914283:0.256272:0.903695:0.251101:0.903695:0.000000
20:@0.050701:0.837391:0.064451:0.837391:0.064451:0.825301:0.050701:0.825301:0.000000:0.000000
(5, 18):@0.071599:0.852800:0.105452:0.852800:0.105452:0.840709:0.071599:0.840709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(10, 16):@0.110786:0.841997:0.151514:0.841997:0.151514:0.829907:0.110786:0.829907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(15, 14):@0.108106:0.866057:0.148834:0.866057:0.148834:0.853966:0.108106:0.853966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(20, 12):@0.155589:0.857919:0.196317:0.857919:0.196317:0.845829:0.155589:0.845829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(25, 10):@0.155589:0.880380:0.196317:0.880380:0.196317:0.868290:0.155589:0.868290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(30, 8):@0.204988:0.872313:0.238841:0.872313:0.238841:0.860223:0.204988:0.860223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(35, 6):@0.209089:0.894723:0.242942:0.894723:0.242942:0.882633:0.209089:0.882633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.675090:0.068421:0.632265:0.056510:0.632265:0.056510:0.675090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000