Solve the system of equations: x - 2y = 5, (x + y + 6) / 3 = 3

1. From the second equation, multiply by 3: x + y + 6 = 9, which simplifies to x + y = 3.

2. Subtract the first equation (x - 2y = 5) from the modified second equation (x + y = 3): (x + y) - (x - 2y) = 3 - 5, which gives 3y = -2, so y = -2/3.

3. Substitute y = -2/3 into x + y = 3: x - 2/3 = 3, so x = 3 + 2/3 = 11/3.

Answer: (11/3, -2/3)