Solve the system of equations

Question

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

Answer 1

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

Let's use the substitution method.
From the second equation:
Y = 6X + 32

We can substitute this into the first equation:
4X - 8(6X + 32) = -36
4X - 48X - 256 = -36
-44X = 220
X = -5

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

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