Multiply the 2nd equation throughout by 2: 10x+2y-6=0, now add the 1st eqn to it: 13x-13=0, eliminating the y terms. So 13x=13 and x=1. Putting x=1 in the original 2nd eqn: 5+y-3=0; y+2=0, so y=-2. Therefore the solution is x=1, y=-2. To check the answer, put these values into each of the original eqns and check that they're true.