x-6y=16;2x+6y=5

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Solution for x-6y=16;2x+6y=5 system of equations: 


  • /| x-(6*y)-16 = 0| 2*x+6*y-5 = 0
  • We try to solve the equation: x-(6*y)-16 = 0
  • x-6*y-16 = 0 // - x-16
  • -6*y = -(x-16) // : -6
  • y = (-(x-16))/(-6)
  • y = (16-x)/(-6)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((16-x)/(-6))+2*x-5 = 0| y = (16-x)/(-6)
  • (6*(16-x))/(-6)+2*x-5 = 0
  • 3*x-16-5 = 0
  • 3*x-21 = 0
  • 3*x-21 = 0 // + 21
  • 3*x = 21 // : 3
  • x = 21/3
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-x)/(-6): 
  • y = (16-7)/(-6)
  • y = 9/(-6)
  • y = -3/2
  • We get a system of equations:
  • /| y = -3/2| x = 7

 

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