Solve simultaneously: 3x+2y=7 & x-2y=-3

Add the 2 eqns together to eliminate the y's to give: 4x=4. Divide by 4 to give x=1Now substitute x=1 into the first eqn: 3+2y=7. Subtract 3 from both sides -> 2y=4. Divide by 2 to give y=2.Now, check by substituting inot the second eqn: 1-2(2)=-3. This is correct, therefore we know we are correct!