3x-5=-y;2x-y=0

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2x+y=8
x+3y=14

Solution for 3x-5=-y;2x-y=0 system of equations: 


  • /| 3*x+y-5 = 0| 2*x-y = 0
  • We try to solve the equation: 3*x+y-5 = 0
  • 3*x+y-5 = 0 // - 3*x-5
  • y = -(3*x-5)
  • y = 5-(3*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x+3*x-5 = 0| y = 5-(3*x)
  • 5*x-5 = 0 // + 5
  • 5*x = 5 // : 5
  • x = 5/5
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5-(3*x): 
  • y = 5-(1*3)
  • y = 5-3
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 1

 

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