7x-6y=27;6x+7y=96

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Solution for 7x-6y=27;6x+7y=96 system of equations: 


  • /| 7*x-(6*y)-27 = 0| 6*x+7*y-96 = 0
  • We try to solve the equation: 7*x-(6*y)-27 = 0
  • 7*x-6*y-27 = 0 // - 7*x-27
  • -6*y = -(7*x-27) // : -6
  • y = (-(7*x-27))/(-6)
  • y = (27-(7*x))/(-6)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((27-(7*x))/(-6))+6*x-96 = 0| y = (27-(7*x))/(-6)
  • (7*(27-7*x))/(-6)+6*x-96 = 0
  • 85/6*x-96-63/2 = 0
  • 85/6*x-255/2 = 0
  • 85/6*x-255/2 = 0 // + 255/2
  • 85/6*x = 255/2 // : 85/6
  • x = 255/2/85/6
  • x = 9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (27-(7*x))/(-6): 
  • y = (27-(7*9))/(-6)
  • y = (27-63)/(-6)
  • y = -36/(-6)
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = 9

 

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