x+y=10;x-y=4

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

Solution for x+y=10;x-y=4 system of equations:


  • /| x+y-10 = 0| x-y-4 = 0
  • We try to solve the equation: x+y-10 = 0
  • x+y-10 = 0 / - x-10
  • y = -(x-10)
  • y = 10-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x+x-10-4 = 0| y = 10-x
  • 2*x-14 = 0 / + 14
  • 2*x = 14 / : 2
  • x = 14/2
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 10-x:
  • y = 10-7
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 7

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