Answer
$x=-1, y=7, w=-3$
Work Step by Step
1. Let each corresponding elements be equal. From the $a_{11}$, we have $5=y-2$, thus $y=7$
2. From $a_{12}$, we have $x+6=4-x$ or $2x=-2$, thus $x=-1$
3. From $a_{22}$, we have $4=w+7$, thus $w=-3$
4. The solutions are $x=-1, y=7, w=-3$