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 first use the method of substitution.

From the second equation:
Y = 32 + 6X

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

Now substitute X = -5 into 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.