Answer
$x=-4$
$y=9$
Work Step by Step
$\begin{pmatrix}
x+2 & 8 & -3\\
1 & 2y & 2x \\
7 & -2 & y+2
\end{pmatrix}=\begin{pmatrix}
2x+6 & 8 & -3\\
1 & 18 & -8 \\
7 & -2 & 11
\end{pmatrix}$
All we need to do here is compare elements:
$x+2=2x+6$
$2y=18$
$2x=-8$
$y+2=11$
The first and third equations yield the same result:
$x+2=2x+6$ $\quad \quad \quad \quad \quad 2x=-8$
$\implies x=2-6=-4$ $\quad \quad x=\frac{-8}{2}=-4$
The second and fourth equations also yield the same result
$2y=18$ $\quad \quad \quad \quad \quad y=11-2=9$
$y=\frac{18}{2}=9$
