3m-2n=5;2m+n=8

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 3m-2n=5;2m+n=8 system of equations: 


  • /| 3*m-(2*n)-5 = 0| 2*m+n-8 = 0
  • We try to solve the equation: 3*m-(2*n)-5 = 0
  • 3*m-2*n-5 = 0 // - 3*m-5
  • -2*n = -(3*m-5) // : -2
  • n = (-(3*m-5))/(-2)
  • n = (5-(3*m))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (5-(3*m))/(-2)+2*m-8 = 0| n = (5-(3*m))/(-2)
  • (5-3*m)/(-2)+2*m-8 = 0
  • 7/2*m-8-5/2 = 0
  • 7/2*m-21/2 = 0
  • 7/2*m-21/2 = 0 // + 21/2
  • 7/2*m = 21/2 // : 7/2
  • m = 21/2/7/2
  • m = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For n = (5-(3*m))/(-2): 
  • n = (5-(3*3))/(-2)
  • n = (5-9)/(-2)
  • n = -4/(-2)
  • n = 2
  • We get a system of equations:
  • /| n = 2| m = 3

 

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