[tex]\left\{\begin{array}{ccc}3x+2y=-3\\x+y=2\end{array}\right\\\\ \begin{array}{ccc}(1)\\(2)\end{array} \left[\begin{array}{ccc}3&2\\1&1\end{array}\right| \left\begin{array}{ccc}-3\\2\end{array}\right]\xrightarrow{(1)-2\cdot(2)}\left[\begin{array}{ccc}1&0\\1&1\end{array}\right| \left\begin{array}{ccc}-7\\2\end{array}\right]\xrightarrow{(2)-(1)}\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}-7\\9\end{array}\right][/tex]
[tex]\boxed{\left\{\begin{array}{ccc}x=-7\\y=9\end{array}\right}[/tex]
