Question

(15pts) What are the ordered pairs of the solutions for this system of equations?

Answer 1

• (2, 3)
• (-2, 11)

Explanation:

Equating the system :

• x² - 2x + 3 = -2x + 7
• x² - 2x + 2x + 3 - 7 = 0
• x² - 4 = 0
• (x + 2)(x - 2) = 0

When x = 2,

• f(2) = -2(2) + 7
• f(2) = 7 - 4
• f(2) = 3
• Ordered pair is (2, 3)

When x = -2,

• f(-2) = -2(-2) + 7
• f(-2) = 4 + 7
• f(-2) = 11
• Ordered pair is (-2, 11)