Answer
$x=2,y=-1$
Work Step by Step
Similar to adding and subtracting, the matrices given each have a corresponding term. The top left with the top left, the top right with the top right, and so on.
$x$ corresponds to $2$, therefore, $x$ equals $2$. And $2y$ corresponds with $-2$. Dividing by $2$, will give us the value of $-1$ for $y$.
To check, plug these values into the bottom terms.
$4=2(2)$
$4=4$
$6=-6(-1)$
$6=6$