x+y=5;4y=x

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for example:
2x+y=8
x+3y=14

Solution for x+y=5;4y=x system of equations: 


  • /| x+y-5 = 0| 4*y-x = 0
  • We try to solve the equation: x+y-5 = 0
  • x+y-5 = 0 // - x-5
  • y = -(x-5)
  • y = 5-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*(5-x)-x = 0| y = 5-x
  • 4*(5-x)-x = 0
  • 20-5*x = 0
  • 20-5*x = 0 // - 20
  • -5*x = -20 // : -5
  • x = -20/(-5)
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5-x: 
  • y = 5-4
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 4

 

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