Solve the system of equations.

Question

4x−8y=−36
−6x+y=32(1 point)
(
a
,
a
)

Answer 1

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

First, we rearrange the second equation to solve for y in terms of x:
-6x + y = 32
y = 6x + 32

Now we substitute this expression for y into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5

Now that we have found the value of x, we can substitute it back into the equation y = 6x + 32 to find the value of y:
y = 6(-5) + 32
y = -30 + 32
y = 2

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