Answer
$x=2$
$y=3$
Work Step by Step
$\begin{pmatrix}
16 & 4 & 5 & 4\\
-3 & 13 & 15 & 6\\
0 & 2 & 4 & 0
\end{pmatrix}=\begin{pmatrix}
16 & 4 & 2x+1 & 4\\
-3 & 13 & 15 & 3x\\
0 & 2 & 3y-5 & 0
\end{pmatrix}$
All we need to do here is compare elements:
$5=2x+1$
$6=3x$
$4=3y-5$
The first two equations yield the same result:
$5-1=4=2x$ $\quad \quad \quad \quad x=\frac{6}{3}=2$
$\implies x=\frac{4}{2}=2$
$4+5=9=3y$
$y=\frac{9}{3}=3$
