Answer
$(-2,-6)$
Work Step by Step
Terms containing $x$ are opposite in the additive sense.
Add the equations:
$-2y=12\qquad$ ... and solve for $y$
$y=-6$
Substitute into one of the initial equations:
$-5x+y=4$
$-5x-6=4$
$-5x=10$
$x=-2$
Form an ordered pair $(x,y)$ as the solution to the system
$(-2,-6)$