[tex]\left\{\begin{array}{ccc}10x+10y=-10&\text{divide both sides by (-5)}\\-9x+2y=-24\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y=2\\-9x+2y=-24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-11x=-22\qquad\text{divide both sides by (-11)}\\.\qquad\qquad\boxed{x=2}\\\\\text{Put the value of x to the second equation:}\\\\-9(2)+2y=-24\\-18+2y=-24\qquad\text{add 18 to both sides}\\2y=-6\qquad\text{divide both sides by 2}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=2\ and\ y=-3}[/tex]
