[tex]\left\{ \begin{array}{cl}2x+y=-14\\2x-3y=2\end{array} \right.\\\\\left\{ \begin{array}{cl}2x=-14-y\\2x-3y=2\end{array} \right.\\\\-14-y-3y=2\\-14-4y=2\\-4y=16\\y=-4\\\\2x-3*(-4)=2\\2x+12=2\\2x=-10\\x=-5\\\\\boxed{x=-5}~~~~~~~~~~\boxed{y=-4}[/tex]
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[tex]\left\{ \begin{array}{cl}2x+y=-14\\2x-3y=2\end{array} \right.\\\\\left\{ \begin{array}{cl}2x=-14-y\\2x-3y=2\end{array} \right.\\\\-14-y-3y=2\\-14-4y=2\\-4y=16\\y=-4\\\\2x-3*(-4)=2\\2x+12=2\\2x=-10\\x=-5\\\\\boxed{x=-5}~~~~~~~~~~\boxed{y=-4}[/tex]