Question
Find $x$ and $y$ if $:\left(\begin{array}{cc}-3 & 2 \\ 0 & 5\end{array}\right)\left(\begin{array}{l}x \\ y\end{array}\right)=\left(\begin{array}{c}-5 \\ y\end{array}\right)$
✓
Answer
$\begin{array}{l}\left(\begin{array}{cc}-3 & 2 \\ 0 & 5\end{array}\right)\left(\begin{array}{l}x \\ y\end{array}\right)=\left(\begin{array}{c}-5 \\ y\end{array}\right) \end{array} $
$ \Rightarrow\left(\begin{array}{c}-3 x+4 \\ 0-10\end{array}\right)=\left(\begin{array}{c}-5 \\ y\end{array}\right)$
$\Rightarrow-3 x+4=-5 $
$\Rightarrow-3 x=-5-4 $
$ \Rightarrow-3 x=-9 $
$ \Rightarrow x=3$
and
$y = -10$
$ \Rightarrow\left(\begin{array}{c}-3 x+4 \\ 0-10\end{array}\right)=\left(\begin{array}{c}-5 \\ y\end{array}\right)$
$\Rightarrow-3 x+4=-5 $
$\Rightarrow-3 x=-5-4 $
$ \Rightarrow-3 x=-9 $
$ \Rightarrow x=3$
and
$y = -10$
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