x+6y=59;x+7y=68

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Solution for x+6y=59;x+7y=68 system of equations: 


  • /| x+6*y-59 = 0| x+7*y-68 = 0
  • We try to solve the equation: x+6*y-59 = 0
  • x+6*y-59 = 0 // - x-59
  • 6*y = -(x-59) // : 6
  • y = (-(x-59))/6
  • y = (59-x)/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((59-x)/6)+x-68 = 0| y = (59-x)/6
  • (7*(59-x))/6+x-68 = 0
  • 413/6-1/6*x-68 = 0
  • 5/6-1/6*x = 0
  • 5/6-1/6*x = 0 // - 5/6
  • -1/6*x = -5/6 // : -1/6
  • x = -5/6/(-1/6)
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (59-x)/6: 
  • y = (59-5)/6
  • y = 54/6
  • y = 9
  • We get a system of equations:
  • /| y = 9| x = 5

 

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