5x-y=27;x+y=9

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2x+y=8
x+3y=14

Solution for 5x-y=27;x+y=9 system of equations:


  • /| 5*x-y-27 = 0| x+y-9 = 0
  • We try to solve the equation: 5*x-y-27 = 0
  • 5*x-y-27 = 0 / - 5*x-27
  • -y = -(5*x-27) / * -1
  • y = 5*x-27
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x+5*x-27-9 = 0| y = 5*x-27
  • 6*x-36 = 0 / + 36
  • 6*x = 36 / : 6
  • x = 36/6
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5*x-27:
  • y = 5*6-27
  • y = 30-27
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 6

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