Answer
$ x=-4$
$ y=14$
$ z=3$
$ w=-2$
Work Step by Step
Two matrices are equal if they have the same dimension and
if corresponding elements, position by position, are equal.
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These matrices have the same dimension, 2$\times$2.
Position by position,
$x+2=-2\quad \Rightarrow \quad x=-4$
$y-6=8\quad \Rightarrow \quad y=14$
$z-3=0\quad \Rightarrow \quad z=3$
$w+5=3\quad \Rightarrow \quad w=-2$
