Question

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

Answer 1

(5, 18 ) ; (- 5, 38 )

Explanation:

let y = f(x) , then

y = x² - 2x + 3 → (1)

y = - 2x + 28 → (2)

substitute y = x² - 2x + 3 into (2)

x² - 2x + 3 = - 2x + 28 ( subtract - 2x + 28 from both sides )

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ±
`√(25)` = ± 5

substitute these values into (2) for corresponding values of y

x = 5 : y = - 2(5) + 28 = - 10 + 28 = 18 ⇒ (5, 18 )

x = - 5 : y = - 2(- 5) + 28 = 10 + 28 = 38 ⇒ (- 5, 38 )