Answer:
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
