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

(15pts) What are the ordered pairs of the solutions for this system of equations?-example-1
User Townie
by
9.1k points

1 Answer

11 votes

Answer:

  • (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)
User ShayDavidson
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