Solve the system of equations:

y = X-3

y = x2 - 5x + 6

(3, 0)

Step-by-step explanation:

As the first step in solving this system, substitute x - 3 for y in y = x^2 - 5x + 6. This temporarily eliminates y and gives us the equation in x x - 3 = x^2 - 5x + 6, which simplifies to x^2 - 6x + 9, whose roots are {3, 3}. When x = 3, y = 0. Thus, the solution is (3, 0).