1/3x-y=-16/3;y=1-4x

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Solution for 1/3x-y=-16/3;y=1-4x system of equations: 


  • /| (1/3)*x-y-(-16/3) = 0| 4*x+y-1 = 0
  • We try to solve the equation: (1/3)*x-y-(-16/3) = 0
  • 1/3*x-y+16/3 = 0 // - 1/3*x+16/3
  • -y = -(1/3*x+16/3) // * -1
  • y = 1/3*x+16/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*x+1/3*x-1+16/3 = 0| y = 1/3*x+16/3
  • 13/3*x+13/3 = 0 // - 13/3
  • 13/3*x = -13/3 // : 13/3
  • x = -13/3/13/3
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 1/3*x+16/3: 
  • y = 16/3-1*1/3
  • y = 16/3-1/3
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -1

 

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