Question

5(x+3y)-(7x+8y)=-6
7x-9y-2(x-18y)=0

AYUDA !!! METODO DE IGUALACION

Answer 1

5(x+3y)- (7x + 8y)=-6
5x +15 y - 7x -8y = -6
-2x +7y= -6

7x -9y -2 (x-18y)= 0
7x - 9y -2x + 36y= 0
5x + 27y= 0

-2x+7y= -6 
5x +27y=0

1) Despejaremos la X de las ecuaciones.

-2x= -6 -7y
x=$\frac{-6-7y}{-2}$

5x + 27y=0
5x= -27y
x=$- \frac{27y}{5}$

2) Igualamos:

$\frac{-6-7y}{-2} = \frac{27y}{5}$
-5(-6-7y) = 2(27y)
30 -35y= 54y
-35y-54y=-30
89y=30
y=$- \frac{30}{89}$

3) Hallamos a X.
5x + 27($\frac{30}{89}$)= 0
5x =-$\frac{810}{89}$
x=$\frac{ \frac{810}{89} }{5}$
x=$\frac{162}{89}$

Espero que sirva! Saludos!