5x-12y-65=0;5x-12y+26=0

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

Solution for 5x-12y-65=0;5x-12y+26=0 system of equations: 


  • /| 5*x-(12*y)-65 = 0| 5*x-(12*y)+26 = 0
  • We try to solve the equation: 5*x-(12*y)-65 = 0
  • 5*x-12*y-65 = 0 // - 5*x-65
  • -12*y = -(5*x-65) // : -12
  • y = (-(5*x-65))/(-12)
  • y = (65-(5*x))/(-12)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(12*((65-(5*x))/(-12)))+26 = 0| y = (65-(5*x))/(-12)
  • (-1*12*(65-5*x))/(-12)+5*x+26 = 0
  • 26+65 = 0
  • 91 = 0
  • 91 = 0
  • x belongs to the empty set
  • The system of equations does not have any solution

 

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