2x-6y=6;5x-15y=15

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

Solution for 2x-6y=6;5x-15y=15 system of equations: 


  • /| 2*x-(6*y)-6 = 0| 5*x-(15*y)-15 = 0
  • We try to solve the equation: 2*x-(6*y)-6 = 0
  • 2*x-6*y-6 = 0 // - 2*x-6
  • -6*y = -(2*x-6) // : -6
  • y = (-(2*x-6))/(-6)
  • y = (6-(2*x))/(-6)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(15*((6-(2*x))/(-6)))-15 = 0| y = (6-(2*x))/(-6)
  • (-1*15*(6-2*x))/(-6)+5*x-15 = 0
  • 15-15 = 0
  • 0 = 0
  • The system of equations has infinitely many solutions

 

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