4x-3y=26;3x+y=11

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Solution for 4x-3y=26;3x+y=11 system of equations: 


  • /| 4*x-(3*y)-26 = 0| 3*x+y-11 = 0
  • We try to solve the equation: 4*x-(3*y)-26 = 0
  • 4*x-3*y-26 = 0 // - 4*x-26
  • -3*y = -(4*x-26) // : -3
  • y = (-(4*x-26))/(-3)
  • y = (26-(4*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (26-(4*x))/(-3)+3*x-11 = 0| y = (26-(4*x))/(-3)
  • (26-4*x)/(-3)+3*x-11 = 0
  • 13/3*x-11-26/3 = 0
  • 13/3*x-59/3 = 0
  • 13/3*x-59/3 = 0 // + 59/3
  • 13/3*x = 59/3 // : 13/3
  • x = 59/3/13/3
  • x = 59/13
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(4*x))/(-3): 
  • y = (26-(4*59/13))/(-3)
  • y = (26-236/13)/(-3)
  • y = 102/13/(-3)
  • y = -34/13
  • We get a system of equations:
  • /| y = -34/13| x = 59/13

 

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