Solve the system of equations.

−6x+2y=−32

4x+3y=−9(1 point)

1 answer

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

From the first equation:
-6x + 2y = -32
2y = 6x - 32
y = 3x - 16

Now substitute the expression for y into the second equation:
4x + 3(3x - 16) = -9
4x + 9x - 48 = -9
13x - 48 = -9
13x = 39
x = 3

Now substitute the value of x back into the expression for y:
y = 3(3) - 16
y = 9 - 16
y = -7

Therefore, the solution to the system of equations is x = 3 and y = -7.