6x-6y+11=17;9y=3x+15

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Solution for 6x-6y+11=17;9y=3x+15 system of equations: 


  • /| 6*x-(6*y)-17+11 = 0| 9*y-(3*x)-15 = 0
  • We try to solve the equation: 6*x-(6*y)-17+11 = 0
  • 6*x-6*y-6 = 0 // - 6*x-6
  • -6*y = -(6*x-6) // : -6
  • y = (-(6*x-6))/(-6)
  • y = (6-(6*x))/(-6)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*((6-(6*x))/(-6))-(3*x)-15 = 0| y = (6-(6*x))/(-6)
  • (9*(6-6*x))/(-6)-3*x-15 = 0
  • 6*x-15-9 = 0
  • 6*x-24 = 0
  • 6*x-24 = 0 // + 24
  • 6*x = 24 // : 6
  • x = 24/6
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(6*x))/(-6): 
  • y = (6-(4*6))/(-6)
  • y = (6-24)/(-6)
  • y = -18/(-6)
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 4

 

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