3x-y=-1;x+y=5

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x+3y=14

Solution for 3x-y=-1;x+y=5 system of equations: 


  • /| 3*x-y+1 = 0| x+y-5 = 0
  • We try to solve the equation: 3*x-y+1 = 0
  • 3*x-y+1 = 0 // - 3*x+1
  • -y = -(3*x+1) // * -1
  • y = 3*x+1
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x+3*x-5+1 = 0| y = 3*x+1
  • 4*x-4 = 0 // + 4
  • 4*x = 4 // : 4
  • x = 4/4
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*x+1: 
  • y = 1*3+1
  • y = 1+3
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 1

 

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