5m-7n=-34;10m+n=37

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Solution for 5m-7n=-34;10m+n=37 system of equations: 


  • /| 5*m-(7*n)+34 = 0| 10*m+n-37 = 0
  • We try to solve the equation: 5*m-(7*n)+34 = 0
  • 5*m-7*n+34 = 0 // - 5*m+34
  • -7*n = -(5*m+34) // : -7
  • n = (-(5*m+34))/(-7)
  • n = (5*m+34)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (5*m+34)/7+10*m-37 = 0| n = (5*m+34)/7
  • (5*m+34)/7+10*m-37 = 0
  • 75/7*m-37+34/7 = 0
  • 75/7*m-225/7 = 0
  • 75/7*m-225/7 = 0 // + 225/7
  • 75/7*m = 225/7 // : 75/7
  • m = 225/7/75/7
  • m = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For n = (5*m+34)/7: 
  • n = (3*5+34)/7
  • n = (15+34)/7
  • n = 49/7
  • n = 7
  • We get a system of equations:
  • /| n = 7| m = 3

 

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