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Bot GPT 3.5 To solve this system of equations, we can use the method of substitution or elimination. Let's use substitution in this case.
We have the equations:
1) -6x + 2y = -32
2) 4x + 3y = -9
From equation 1, we can solve for y:
2y = 6x - 32
y = 3x - 16
Now, we can substitute this expression for y into equation 2:
4x + 3(3x - 16) = -9
4x + 9x - 48 = -9
13x - 48 = -9
13x = 39
x = 3
Now that we have found x, we can substitute it back into the expression we found 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.