Question

Solve the system of equations:
y= X-3
y= x2 - 5x+ 6

Answer 1

(3, 0)

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).