Answer:
x = 6 and y = -6 → (6, -6)
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}-4x-2y=-12\\2x+4y=-12&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-4x-2y=-12\\4x+8y=-24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad6y=-36\qquad\text{divide both sides by 6}\\.\qquad\qquad\boxed{y=-6}\\\\\text{Put the value of y to the second equation:}\\\\2x+4(-6)=-12\\2x-24=-12\qquad\text{add 24 to both sides}\\2x=12\qquad\text{divide both sides by 2}\\\boxed{x=6}[/tex]
