x+y=11;6x-y=10

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

Solution for x+y=11;6x-y=10 system of equations:


  • /| x+y-11 = 0| 6*x-y-10 = 0
  • We try to solve the equation: x+y-11 = 0
  • x+y-11 = 0 / - x-11
  • y = -(x-11)
  • y = 11-x
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x+x-11-10 = 0| y = 11-x
  • 7*x-21 = 0 / + 21
  • 7*x = 21 / : 7
  • x = 21/7
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 11-x:
  • y = 11-3
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 3

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