Question

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

Answer 1

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

From the second equation, we can rearrange it to solve for y:

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 second equation to solve for y:

-6(-5) + y = 32
30 + y = 32
y = 2

So the solution to the system of equations is x = -5 and y = 2.