Systems of Linear Equations Unit Test Solve the system of equations . 4x - 8y = - 36; - 6x + y = 32 (1 point) 9 -6

Answer 1

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

Let's solve it using the substitution method:
1. Solve the second equation for y:
-6x + y = 32
y = 6x + 32

2. Substitute the expression for y into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5

3. Substitute x = -5 into the second equation to find y:
-6(-5) + y = 32
30 + y = 32
y = 2

Therefore, the solution to the system of equations 4x - 8y = -36 and -6x + y = 32 is x = -5 and y = 2.