Find X and Y, if [ cc 2 x & x y & 3 y ] [ l 3 2 ]= [ c 16 9 ] - Vidyadip

Question

Find $X$ and $Y,$ if $\left[\begin{array}{cc}2 x & x \\ y & 3 y\end{array}\right]\left[\begin{array}{l}3 \\ 2\end{array}\right]=\left[\begin{array}{c}16 \\ 9\end{array}\right]$

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Answer

$\begin{array}{l}{\left[\begin{array}{cc}2 x & x \\ y & 3 y\end{array}\right]\left[\begin{array}{l}3 \\ 2\end{array}\right]=\left[\begin{array}{c}16 \\ 9\end{array}\right]} \end{array}$
$ {\left[\begin{array}{c}6 x+2 x \\ 3 y+6 y\end{array}\right]=\left[\begin{array}{c}16 \\ 9\end{array}\right]} $
$ {\left[\begin{array}{l}8 x \\ 9 y\end{array}\right]=\left[\begin{array}{c}16 \\ 9\end{array}\right]} $
$8 x =16, x =2 9, y =9, y =1 .$

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