x-3y=2;7x+y=36

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

Solution for x-3y=2;7x+y=36 system of equations:


  • /| x-(3*y)-2 = 0| 7*x+y-36 = 0
  • We try to solve the equation: x-(3*y)-2 = 0
  • x-3*y-2 = 0 / - x-2
  • -3*y = -(x-2) / : -3
  • y = (-(x-2))/(-3)
  • y = (2-x)/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (2-x)/(-3)+7*x-36 = 0| y = (2-x)/(-3)
  • (2-x)/(-3)+7*x-36 = 0
  • 22/3*x-36-2/3 = 0
  • 22/3*x-110/3 = 0
  • 22/3*x-110/3 = 0 / + 110/3
  • 22/3*x = 110/3 / : 22/3
  • x = 110/3/22/3
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2-x)/(-3):
  • y = (2-5)/(-3)
  • y = -3/(-3)
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 5

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