Answer
The values are, $ x=-5,y=6,z=6$.
Work Step by Step
Consider the given matrices, $\left[ \begin{matrix}
2x & y+7 \\
z & 4 \\
\end{matrix} \right]=\left[ \begin{array}{*{35}{r}}
-10 & 13 \\
6 & 4 \\
\end{array} \right]$
Since the two matrices are equal, the corresponding elements of the two matrices must be the same:
$\begin{align}
& 2x=-10 \\
& y+7=13 \\
& z=6
\end{align}$
Therefore
$\begin{align}
& x=-5 \\
& y=6 \\
& z=6
\end{align}$
The required values are $ x=-5,y=6,z=6$.