Question

What are the ordered pairs of the

solutions for this system of equations?
f(x) = x² - 2x + 3; ƒ(x) = −2x + 28

Answer 1

Answer: x = 5, -5

Explanation:

mark brainist

Answer 2

(5, 18) and (-5, 38)

Explanation:

Equating the values of the function f(x) :

• x² - 2x + 3 = -2x + 28
• x² + 3 = 28 [Cancelling out -2x on each side]
• x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]
• √x² = √25 [Taking square root on each side]
• x = ±5

Taking x = +5 :

• f(5) = -2(5) + 28
• f(5) = -10 + 28
• f(5) = 18
• Ordered pair = (5, 18)

Taking x = -5 :

• f(-5) = -2(-5) + 28
• f(-5) = 10 + 28
• f(-5) = 38
• Ordered pair = (-5, 38)

The solutions are : (5, 18) and (-5, 38)