Final answer:
The solution set to the given system of equations is (2, 1).
Step-by-step explanation:
The solution set to the given system of equations is (2, 1).
To find the solution, we can solve the system by substitution. From the first equation, we can express y in terms of x as y = 3 - x. Substituting this value of y into the second equation, we get x² + (3 - x) = 9. Simplifying, we have x² - x - 6 = 0. Factoring this quadratic equation gives us (x - 3)(x + 2) = 0. Therefore, x = 3 or x = -2. Substituting these values of x back into the first equation gives us y = 3 - x, so when x = 3, y = 3 - 3 = 0, and when x = -2, y = 3 - (-2) = 5. Hence, the solution set is (2, 1).