Say we have the equations 2x-2y=3 and 3x+2y=12. So first you set them on top of each other. Then, you make it so that one variable in one equation cancels out the same variable in the other one, in this case, 2y and -2y cancel each other out, so we can proceed to the next step. Add the equations(without the cancelled out variables), so that it will be 5x=15, or x=3. Next, you plug in 3 for x in both equations to find y. You should get the same answer for y in both equations. Therefore, the coordinate point where the lines cross is 3,3/2. You can also graph the lines to check your answer.