[tex]\it \begin{cases}\it 2X+3Y=\begin{pmatrix}\it11&\it5\\\it 1&-\it10\end{pmatrix}\ |_{\cdot2}\\ \\ \\ \it 3X-2Y=\begin{pmatrix}\it0&\it-1\\\it -5&\it-2\end{pmatrix}\ |_{\cdot3}\end{cases}\ \Rightarrow \begin{cases}\it 4X+6Y=\begin{pmatrix}\it22&\it10\\\it 2&-\it20\end{pmatrix}\ \\ \\ \\ \it 9X-6Y=\begin{pmatrix}\it0&\it-3\\\it -15&\it-6\end{pmatrix}\end{cases}\ \stackrel{(+)}{\Longrightarrow}[/tex]
[tex]\it \Rightarrow 13X=\begin{pmatrix}\it22&\it7\\\it -13&-\it26\end{pmatrix} |_{:13}\Rightarrow X=\begin{pmatrix}\it\dfrac{22}{13}&\it\dfrac{7}{13}\\ \\ \it -1&-\it2\end{pmatrix}[/tex]
