x+y=4;y-x=4

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

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


  • /| x+y-4 = 0| y-x-4 = 0
  • We try to solve the equation: x+y-4 = 0
  • x+y-4 = 0 / - x-4
  • y = -(x-4)
  • y = 4-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4-x-x-4 = 0| y = 4-x
  • -2*x = 0 / : -2
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 4-x:
  • y = 0+4
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 0

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