Answer:
{1, 4}
Step-by-step explanation:
Solve the second equation for y in terms of x: x + y = 5 => y = 5 - x
Substituting this expression for y into the first equation, we obtain:
5 - x = x^2 - 6x + 9
Subtracting 5 from both sides yields
-x = x^2 - 6x + 4
Then, adding x to both sides yields
0 = x^2 - 5x + 4, which factors as follows:
0 = (x - 4)(x - 1)
Setting each factor equal to 0 separately and solving for x in each case results in the solutions {1, 4}
