Equation 1) -2x-y=-9
Equation 2) 5x-2y=18
Multiply all of equation 1 by 2, so that both equations have (2y) in them.
1) 2(-2x-y=-9)
Simplify.
1) -4x-2y=-18
2) 5x-2y=18
Subtract equations with each other.
-9x=-36
Divide both sides by -9.
x=4
Plug in 4 for (x) into equation 1.
-2x-y=-9
-2(4)-y=-9
Simplify.
-8-y=-9
Add 8 to both sides.
-y=-1
Divide both sides by -1.
y=1
(4, 1)
~Hope I helped!~