Find the value of x and y for which

Question:

Find the value of $x$ and $y$ for which

$\left[\begin{array}{cc}2 & -3 \\ 1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}1 \\ 3\end{array}\right]$

Solution:

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