4. If , then . So we're told that but this is impossible, because that would that for any , we have -5 = -2. This is false, so this system has no solution.
7. "y is 6 less than 3 times x" means . "x is 2 more than one-third of y" means . Solving the second equation for gives , which would mean . But for the same reason as in (4), there is no solution. For any value of , this equation gives the false conclusion that -6 = -2.