x+y=5;3x+2y=10

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

Solution for x+y=5;3x+2y=10 system of equations:


  • /| x+y-5 = 0| 3*x+2*y-10 = 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:
  • /| 2*(5-x)+3*x-10 = 0| y = 5-x
  • 2*(5-x)+3*x-10 = 0
  • x-10+10 = 0
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 5-x:
  • y = 0+5
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = 0

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