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#9: Solve the linear system below using the elimination method. Type your answer as an ordered pair in the form (#,#).

-4x - 9y = -3
- 4x + y = -13
(ALOT OF POINTS WILL BE REWARDED)

1 Answer

5 votes

Answer:

  • (3, - 1)

Explanation:

Given system:

  • - 4x - 9y = - 3
  • - 4x + y = - 13

Subtract the equations to eliminate x:

  • - 4x - 9y - (-4x + y) = - 3 - (-13)
  • - 9y - y = 10
  • - 10y = 10
  • y = - 1

Find the value of x:

  • - 4x - 9(- 1) = - 3
  • - 4x + 9 = - 3
  • -4x = - 3 - 9
  • - 4x = -12
  • x = -12 / -4
  • x = 3

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