Question

Solve the system of equations.
4x−8y=−36
−6x+y=32 (1 point)
( , )

Answer 1

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

Let's use the method of substitution:
From the second equation, we can solve for y:
-6x + y = 32
y = 6x + 32

Now, substitute the value of y in the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x = 220
x = -5

Substitute the value of x in the second equation to solve for y:
-6(-5) + y = 32
30 + y = 32
y = 2

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