4x-2y = - 2

3x+2y = - 12

x=-2

y=-3

Step-by-step explanation:

4x-2y = - 2

3x+2y = - 12

This is a simultaneous equation, which can be solved using either the elimination method or the substitution method. But for the purpose of this question, we would be using the elimination method.

4x-2y = - 2 Equation 1

3x+2y = - 12 Equation 2

Since, y in both equations has the same coefficient, we can easily eliminate it by adding both equations together.

4x+3x=7x

-2y + (+2y) = - 2y+2y=0

-2 + (-12) = -2-12=-14

We now have

7x=-14

x=-14/7

x=-2

We substitute x with - 2 in any of the equations to get y. Let's take equation 2

3x+2y = - 12

3 (-2) + 2y=-12

-6+2y=-12

2y=-12+6

2y=-6

y=-6/2

y=-3