6x-y=17;x+y=11

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

Solution for 6x-y=17;x+y=11 system of equations: 


  • /| 6*x-y-17 = 0| x+y-11 = 0
  • We try to solve the equation: 6*x-y-17 = 0
  • 6*x-y-17 = 0 // - 6*x-17
  • -y = -(6*x-17) // * -1
  • y = 6*x-17
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x+6*x-17-11 = 0| y = 6*x-17
  • 7*x-28 = 0 // + 28
  • 7*x = 28 // : 7
  • x = 28/7
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 6*x-17: 
  • y = 4*6-17
  • y = 24-17
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 4

 

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