The given pair of equation :
2x + 2y =-2
3x-2y=12
We can solve the the equation by using substitution method
Simplify the first equation and solve for y and then put this value of y in second equation to solve for x
2x+2y=-2
Divide equation by 2
x+y=-1
y = -1-x
Substitute the value of y=-1-x in the second equation
[tex]\begin{gathered} 3x-2y=12 \\ 3x-2(-1-x)=12 \\ 3x+2+2x=12 \\ 5x=12-2 \\ 5x=10 \\ x=2 \\ \text{ Use this value of }x=2\text{ in the first equation and solve for y} \\ 2x+2y=-2 \\ 2(2)+2y=-2 \\ 4+2y=-2 \\ 2y=-2-4 \\ 2y=-6 \\ y=\frac{-6}{2} \\ y=(-3) \end{gathered}[/tex]So, the value of x =2 & y = (-3)
Answer : (x, y) = (2, -3)
