Find the solution for these systems of equations 2x+3y=-7 4x-3y=-23

If we add these two equations together, we can quickly follow the system via the elimination method as the y-terms cancel out. Doing so results in 6x= -30, so x = -5. Plug this in and solve for y. 2*(-5) + 3y = -7, -10 + 3y = -7, 3y = 3, y = 1. The solution is therefore (-5,1).