2y-3x=6
-2y-2x=4
Add both of the equations together, and you get...
-5x=10
because the y's cancel out, then you get...
x=-2
meaning when x=-2, y equals...
2y-3x=6
2y-3(-2)=6
2y+6=6
2y=0
y=0
Therefore, the solution that makes both of the equations true is (-2,0)
Hope this helps!