9x-y=16;x+2y=6

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

Solution for 9x-y=16;x+2y=6 system of equations: 


  • /| 9*x-y-16 = 0| x+2*y-6 = 0
  • We try to solve the equation: 9*x-y-16 = 0
  • 9*x-y-16 = 0 // - 9*x-16
  • -y = -(9*x-16) // * -1
  • y = 9*x-16
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(9*x-16)+x-6 = 0| y = 9*x-16
  • 2*(9*x-16)+x-6 = 0
  • 19*x-32-6 = 0
  • 19*x-38 = 0
  • 19*x-38 = 0 // + 38
  • 19*x = 38 // : 19
  • x = 38/19
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 9*x-16: 
  • y = 2*9-16
  • y = 18-16
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 2

 

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