6x+y=-3;5x-3y=-83

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

Solution for 6x+y=-3;5x-3y=-83 system of equations:


  • /| 6*x+y+3 = 0| 5*x-(3*y)+83 = 0
  • We try to solve the equation: 6*x+y+3 = 0
  • 6*x+y+3 = 0 / - 6*x+3
  • y = -(6*x+3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(3*(-(6*x+3)))+83 = 0| y = -(6*x+3)
  • 5*x-1*3*(-6*x-3)+83 = 0
  • 23*x+9+83 = 0
  • 23*x+92 = 0
  • 23*x+92 = 0 / - 92
  • 23*x = -92 / : 23
  • x = -92/23
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(6*x+3):
  • y = -(3-4*6)
  • y = -(3-24)
  • y = 21
  • We get a system of equations:
  • /| y = 21| x = -4

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