I'll eliminate the x, well it depends on you though.
2x-3y=-4 -- > 2x-3y=-4
-2(x-y=-3) -- > -2x+2y=6 Multiply the second equation by -2.
-y =2 Add the equations.
Replace y with -2 in either equation to determine the value for x.
2x-3y=-4 -- > 2x-3(-2)=-4
Therefore, the solution is (-5,-2)