Question

Solve the system of equations
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.

We will use the substitution method to solve this system.

Given equations:
1) 4X - 8Y = -36
2) -6X + Y = 32

Let's solve equation 2 for Y:
Y = 6X + 32

Now substitute this value of Y into equation 1:
4X - 8(6X + 32) = -36
4X - 48X - 256 = -36
-44X = 220
X = -5

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

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