5m+6n=62;15m-n=53

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Solution for 5m+6n=62;15m-n=53 system of equations:


  • /| 5*m+6*n-62 = 0| 15*m-n-53 = 0
  • We try to solve the equation: 5*m+6*n-62 = 0
  • 5*m+6*n-62 = 0 / - 5*m-62
  • 6*n = -(5*m-62) / : 6
  • n = (-(5*m-62))/6
  • n = (62-(5*m))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15*m-((62-(5*m))/6)-53 = 0| n = (62-(5*m))/6
  • (-1*(62-5*m))/6+15*m-53 = 0
  • 95/6*m-53-31/3 = 0
  • 95/6*m-190/3 = 0
  • 95/6*m-190/3 = 0 / + 190/3
  • 95/6*m = 190/3 / : 95/6
  • m = 190/3/95/6
  • m = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For n = (62-(5*m))/6:
  • n = (62-(4*5))/6
  • n = (62-20)/6
  • n = 42/6
  • n = 7
  • We get a system of equations:
  • /| n = 7| m = 4

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