slove the system of equations
4x - 8y = -36
-6x + y = 32
To solve this system of equations, we can use the substitution method. We can isolate y in the second equation and then substitute it into the first equation.
From the second equation:
y = 6x + 32
Substitute y into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5
Now substitute x back into the second equation to solve for y:
-6(-5) + y = 32
30 + y = 32
y = 2
Therefore, the solution to the system of equations is x = -5 and y = 2.