Answer
The lines intersect at (2, -4), so this point is the solution of the system.
Work Step by Step
$y= -5x+6$ and $y=-x-2$
$-5x+6 = -x-2$
$-5x+6+5x+2 = -x-2 +5x+2$
$8 = 4x$
$8/4 = 4x/4$
$2=x$
$y=-5x+6$
$y=-5*2+6$
$y=-10+6$
$y=-4$