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HELP ASAP!! 50 POINTS!!!(picture included) What are the solutions to the system of equations?

Sy = 2:2 - 4x + 8
y=-22 +11
(-1,3) and (5, 13)
0 (-1, 13) and (3,5)
0 (-1, 1) and (-5, -13)
O (1,5) and (3, 13)

HELP ASAP!! 50 POINTS!!!(picture included) What are the solutions to the system of-example-1
User Endzeit
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2 Answers

5 votes
it should be the second one (-1, 13) and (3, 5)
User Kauray
by
8.0k points
2 votes

Answer:

  • B. (-1, 13) and (3, 5)

Explanation:

Solve by elimination:

  • x² - 4x + 8 = -2x + 11
  • x² - 2x = 3
  • x² - 2x + 1 = 4
  • (x - 1)² = 2²
  • x - 1 = 2 ⇒ x = 3
  • x - 1 = -2 ⇒ x = -1

Find values of y:

  • y = -2(3) + 11 = 5
  • y = -2(-1) + 11 = 13

The pairs are:

  • (3, 5) and (-1, 13)

Correct choice is B

User BeeDog
by
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