Question

What is the solution to the system of linear equations?

−8x−7y=96

−3x+5y=−25

Answer 1

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

Explantion:

For the given set of liner equations,

`-8 x-7 y=96-(1)`

`-3x + 5y = -25 - (2)`

multiply the equation (1) with 5,

we get
`-40x - 35y = 480 - (3)`

multiply this equation (2) with 7 we get

`-21x + 35y = -175-(4)`

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

`(-40x - 35y) + (-21x + 35y) = 480 + -175`

`-61x = 305`

`x = -5`

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

`-3(-5) + 5y = -25`

`15 + 5y = -25`

`5y = -40`

`y = -8`

Answer 2

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