Find the value of x and y for which

Question:

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

$\left[\begin{array}{cc}\mathrm{x} & \mathrm{y} \\ 3 \mathrm{y} & \mathrm{x}\end{array}\right]\left[\begin{array}{l}1 \\ 2\end{array}\right]=\left[\begin{array}{l}3 \\ 5\end{array}\right]$

Solution:

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