5v+3x=3;6v-4x=1

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x+3y=14

Solution for 5v+3x=3;6v-4x=1 system of equations: 


  • /| 5*v+3*x-3 = 0| 6*v-(4*x)-1 = 0
  • We try to solve the equation: 5*v+3*x-3 = 0
  • 5*v+3*x-3 = 0 // - 3*x-3
  • 5*v = -(3*x-3) // : 5
  • v = (-(3*x-3))/5
  • v = (3-(3*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((3-(3*x))/5)-(4*x)-1 = 0| v = (3-(3*x))/5
  • (6*(3-3*x))/5-4*x-1 = 0
  • 18/5-38/5*x-1 = 0
  • 13/5-38/5*x = 0
  • 13/5-38/5*x = 0 // - 13/5
  • -38/5*x = -13/5 // : -38/5
  • x = -13/5/(-38/5)
  • x = 13/38
  • We insert the solution into one of the initial equations of our system of equations
  • For v = (3-(3*x))/5: 
  • v = (3-(13/38*3))/5
  • v = (3-39/38)/5
  • v = 75/38/5
  • v = 15/38
  • We get a system of equations:
  • /| v = 15/38| x = 13/38

 

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