Question

The first two steps in determining the solution set of the system of equations, y = x2 - 6x + 12 and y = 2x - 4

Answer 1

Answer:

(4, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² - 6x + 12 → (1)

y = 2x - 4 → (2)

Substitute y = x² - 6x + 12 into (2)

x² - 6x + 12 = 2x - 4 ( subtract 2x - 4 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (2) for corresponding value of y

y = 2(4) - 4 = 8 - 4 = 4

Solution is (4, 4 )