4x-12y=17;2x+6y=1

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

Solution for 4x-12y=17;2x+6y=1 system of equations:


  • /| 4*x-(12*y)-17 = 0| 2*x+6*y-1 = 0
  • We try to solve the equation: 4*x-(12*y)-17 = 0
  • 4*x-12*y-17 = 0 / - 4*x-17
  • -12*y = -(4*x-17) / : -12
  • y = (-(4*x-17))/(-12)
  • y = (17-(4*x))/(-12)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((17-(4*x))/(-12))+2*x-1 = 0| y = (17-(4*x))/(-12)
  • (6*(17-4*x))/(-12)+2*x-1 = 0
  • 4*x-17/2-1 = 0
  • 4*x-19/2 = 0
  • 4*x-19/2 = 0 / + 19/2
  • 4*x = 19/2 / : 4
  • x = 19/2/4
  • x = 19/8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (17-(4*x))/(-12):
  • y = (17-(19/8*4))/(-12)
  • y = (17-19/2)/(-12)
  • y = 15/2/(-12)
  • y = -5/8
  • We get a system of equations:
  • /| y = -5/8| x = 19/8

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