Answer
$x=5,y=1$.
Work Step by Step
Equating the two sides, the equations we get are:
$x-y=4,y-x=-4$
(these two are equivalent)
$-y-x=-6, x+y=6$
(these two are equivalent)
Hence, we have to solve the system:
$x-y=4,x+y=6$
Summing the two equations, we get:
$2x=10\\x=5$.
Plugging this into the first equation, we get:
$5-y=4\\y=1$
Hence, the solution is:
$x=5,y=1$.
