solve the system of equations.

Question

-6x + 2y = -32
4x + 3y = -9
(_,_)

Answer 1

First, we will solve the first equation for y:

-6x + 2y = -32
2y = 6x - 32
y = 3x - 16

Next, we will 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, we will substitute x back into the expression for y to find the value of y:

y = 3(3) - 16
y = 9 - 16
y = -7

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