Question

x/4 + y/2 = -2
x/3 – y/5 = 2

Answer 1

Respuesta:

Espero que te ayude.

Explicación paso a paso:

Answer 2

Respuesta:

Solución : x = 12/11 ; y = -90/11

x/4 + y/2 = -2

x/3 - y/5 = 2

Método de Sustitución :

1 ) Despejo " y " en " x/3 - y/5 = 2 " :

x/3-y/5 = 2

x/3-y/5-x/3 = 2-x/3

- y/5 = 2 - x/3

3(-y) = 5(2-x)

-3y = 10-5x

-(-3y) = -(10-5x)

3y = -10+5x

3y/3 = (-10+5x)/3

y = (-10+5x)/3

2) Reemplazo " y = (-10+5x)/3 " en " x/4 +y/2 = -2 " :

x/4+(-10+5x)/2 = -2 ; m.c.m(2,4) = 4

4(x/4)+4((-10+5x)/2) = 4(-2)

x+2(-10+5x) = -8

x+(-20+10x) = 8

x-20+10x = -8

11x - 20 = -8

11x-20+20 = -8+20

11x = 12

11x/11 = 12/11

x = 12/11

3) Sustituyo " x = 12/11 " en " x/3-y/5 = 2 " :

(12/11)/3 - y/5 = 2

(12)/(11×3)-y/5 = 2

12/33- y/5 = 2 ; 12/33 = 4/11

4/11-y/5 = 2 ; 2 = 22/11

4/11-y/5 = 22/11

4/11-y/5-4/11 = 22/11-4/11

-y/5 = 18/11

-11y = 90

-11y/-1 = 90/-1

11y = -90

11y/11 = -90/11

y = -90/11

Explicación paso a paso: