Respuesta :

Answer:x=-5,y=-8

Step-by-step explanation:solving the equation by elimination method,

multiply equation 2 by 1.4

Then add both equations together

-12.2x=61, x= -5

y is solved by direct substitution into any of the equations. y = - 8

Answer:

The value of X and Y are (-5,-8)

Explantion:

For the given set of liner equations,  

 [tex]-8 x-7 y=96-(1)[/tex]

[tex]-3x + 5y = -25 - (2)[/tex]

multiply the equation (1) with 5,

we get [tex]-40x - 35y = 480 - (3)[/tex]

multiply this equation (2) with 7 we get

[tex]-21x + 35y = -175-(4)[/tex]

Solving the above equations (1) and (2) we get  

[tex](-40x - 35y) + (-21x + 35y) = 480 + -175[/tex]

[tex]-61x = 305[/tex]

[tex]x = -5[/tex]

Use this value for x in the equation (2) to find y.

[tex]-3(-5) + 5y = -25[/tex]

[tex]15 + 5y = -25[/tex]

[tex]5y = -40[/tex]

[tex]y = -8[/tex]