Solve the system of equations

4X minus 8Y equals -36.
Negative 6X plus Y equals 32

1 answer

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

From equation 2:
Y = 32 + 6X.

Now substitute Y in equation 1:
4X - 8(32 + 6X) = -36.

Simplify the equation:
4X - 256 - 48X = -36,
-44X - 256 = -36,
-44X = 220,
X = -220 / 44,
X = -5.

Now substitute X back into the equation Y = 32 + 6X:
Y = 32 + 6(-5),
Y = 32 - 30,
Y = 2.

Therefore, the solution to the system of equations is X = -5 and Y = 2.