Solve the system of equations algebraically: 1/3x + 1/3y = 1, 2x + 2y = 9

1/3x + 1/3y = 1
2x + 2y = 9

(multiply the top equation by -6 so you can cancel out a variable)

-6(1/3x + 1/3y = 1)
-2x - 2y = -6
2x + 2y = 9
0 = 3

No solutions.