Solve the system of equations.

Question

4x−8y=−36
−6x+y=32 (1 point)
( , )

Answer 1

To solve this system of equations, we can use the elimination method.

First, let's multiply the second equation by 8 to make the coefficients of y the same in both equations:

-6x + y = 32
8(-6x + y) = 8(32)
-48x + 8y = 256

Now we can add the two equations together to eliminate y:

4x - 8y = -36
-48x + 8y = 256
_____________________
-44x = 220
x = -5

Now we can substitute x back into one of the original equations to find y:

4(-5) - 8y = -36
-20 - 8y = -36
-8y = -16
y = 2

Therefore, the solution to the system of equations is (-5, 2).