6x-5y=1;18x+y=115

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Solution for 6x-5y=1;18x+y=115 system of equations:


  • /| 6*x-(5*y)-1 = 0| 18*x+y-115 = 0
  • We try to solve the equation: 6*x-(5*y)-1 = 0
  • 6*x-5*y-1 = 0 / - 6*x-1
  • -5*y = -(6*x-1) / : -5
  • y = (-(6*x-1))/(-5)
  • y = (1-(6*x))/(-5)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1-(6*x))/(-5)+18*x-115 = 0| y = (1-(6*x))/(-5)
  • (1-6*x)/(-5)+18*x-115 = 0
  • 96/5*x-115-1/5 = 0
  • 96/5*x-576/5 = 0
  • 96/5*x-576/5 = 0 / + 576/5
  • 96/5*x = 576/5 / : 96/5
  • x = 576/5/96/5
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(6*x))/(-5):
  • y = (1-(6*6))/(-5)
  • y = (1-36)/(-5)
  • y = -35/(-5)
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 6

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