x=y²-1
2x - y = 4
Which of the following equations could be the result of using substitution to solve the system?
2y²-y-5=0
2y2-y-6=0
2y2-2y-5=0

Respuesta :

Answer:

B) 2y² - y - 6 = 0

Given following:

  • x = y² - 1 ___equation 1
  • 2x - y = 4 ___equation 2

Insert equation 1 into 2:

  • 2(y² - 1) - y = 4
  • 2y² - 2 - y = 4
  • 2y² - y - 2 - 4 = 0
  • 2y² - y - 6 = 0
  • x=y²-1

Put in second

  • 2x-y=4
  • 2(y²-1)-y=4
  • 2y²-2-y=4
  • 2y²-y-6=0

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