5m-15+2n+8=10;3m+12-4n-12=-21

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Solution for 5m-15+2n+8=10;3m+12-4n-12=-21 system of equations: 


  • /| 5*m+2*n-15-10+8 = 0| 3*m-(4*n)-12+12+21 = 0
  • We try to solve the equation: 5*m+2*n-15-10+8 = 0
  • 5*m+2*n-17 = 0 // - 5*m-17
  • 2*n = -(5*m-17) // : 2
  • n = (-(5*m-17))/2
  • n = (17-(5*m))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*m-(4*((17-(5*m))/2))-12+12+21 = 0| n = (17-(5*m))/2
  • (-1*4*(17-5*m))/2+3*m-12+12+21 = 0
  • 13*m-34-12+12+21 = 0
  • 13*m-46+12+21 = 0
  • 13*m-34+21 = 0
  • 13*m-13 = 0
  • 13*m-13 = 0 // + 13
  • 13*m = 13 // : 13
  • m = 13/13
  • m = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For n = (17-(5*m))/2: 
  • n = (17-(1*5))/2
  • n = (17-5)/2
  • n = 12/2
  • n = 6
  • We get a system of equations:
  • /| n = 6| m = 1

 

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