Question

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

Answer 1

See below ~

Explanation:

Equating the system of equations :

• x² - 2x + 3 = -5x + 1
• x² - 2x + 5x + 3 - 1 = 0
• x² + 3x + 2 = 0
• (x + 1)(x + 2) = 0

When x = -1 :

• y = -5(-1) + 1
• y = 5 + 1
• y = 6
• Ordered pair is (-1, 6)

When x = -2 :

• y = -5(-2) + 1
• y = 10 + 1
• y = 11
• Ordered pair is (-2, 11)

Answer 2

the ordered pair is (-2,11)