11x-9y=2;13x-15y=-2

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Solution for 11x-9y=2;13x-15y=-2 system of equations: 


  • /| 11*x-(9*y)-2 = 0| 13*x-(15*y)+2 = 0
  • We try to solve the equation: 11*x-(9*y)-2 = 0
  • 11*x-9*y-2 = 0 // - 11*x-2
  • -9*y = -(11*x-2) // : -9
  • y = (-(11*x-2))/(-9)
  • y = (2-(11*x))/(-9)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 13*x-(15*((2-(11*x))/(-9)))+2 = 0| y = (2-(11*x))/(-9)
  • (-1*15*(2-11*x))/(-9)+13*x+2 = 0
  • 2-16/3*x+10/3 = 0
  • 16/3-16/3*x = 0
  • 16/3-16/3*x = 0 // - 16/3
  • -16/3*x = -16/3 // : -16/3
  • x = -16/3/(-16/3)
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2-(11*x))/(-9): 
  • y = (2-(1*11))/(-9)
  • y = (2-11)/(-9)
  • y = -9/(-9)
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 1

 

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