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IRISSAK
2 months ago
7

Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le

Mathematics
1 answer:
lawyer [12.5K]2 months ago
8 0

Al establecer un sistema de ecuaciones lineales, se determina que el total de obreros que contrató el ingeniero civil es 50.

Para descubrir cuántos obreros fueron contratados, se debe formular un sistema de ecuaciones lineales con dos ecuaciones y dos incógnitas, de la siguiente manera:

M - 1400*x = -8000   (1)

M - 1200*x = 2000   (2)

Donde:

M: representa la incógnita correspondiente al capital del ingeniero

x: simboliza la incógnita que denota el total de obreros

De la ecuación (1) podemos deducir:

M = 1400*x - 8000   (3)

Utilizando la ecuación (3) en la ecuación (2) podríamos calcular el valor de x (número de obreros):

1400*x - 8000 - 1200*x = 2000

200*x = 10000

x = 50

El monto inicial del ingeniero, según la ec (3), sería:

M = 1400*50 - 8000 = 62000

Por lo que, el número de obreros contratados por el ingeniero es 50.

Si quieres conocer otro método para resolver sistemas de ecuaciones lineales, puedes ingresar aquí:

                                                                                         

Espero que esto te ayude!

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