He is WRONG, WRONG, WRONG, as usual.
2x + y - z = 20 (1) x + 3y = 13 (2) x = 3 (3) The equation (3) just gives you the solution for x: x = 3. Substitute it into equation (2). You will get 3 + 3y = 13 ====> 3y = 13 - 3 = 10 ===> y == . Thus you found the unknown y, too. Now substitute x = 3, y = into equation (1). You will get = 20 ====> z = = - = . Answer. x = 3, y = , z = .