Question

What are the ordered pairs of the solutions for this system of equations

Answer 1

(3, 6); (-3, 18)

Explanation:

We equate the 2 expressions in x :-

x^2 - 2x + 3 = -2x + 12

x^2 - 2x + 2x + 3 - 12 = 0

x^2 - 9 = 0

(x - 3)(x + 3) = 0

So x = 3 or -3.

When x = 3, f(x) = -2(3) + 12 = 6.

When x = -3, f(x) = -2(-3) + 12 = 18.