6x+5y=27;-6x+y=-45

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Solution for 6x+5y=27;-6x+y=-45 system of equations: 


  • /| 6*x+5*y-27 = 0| y-6*x+45 = 0
  • We try to solve the equation: 6*x+5*y-27 = 0
  • 6*x+5*y-27 = 0 // - 6*x-27
  • 5*y = -(6*x-27) // : 5
  • y = (-(6*x-27))/5
  • y = (27-(6*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (27-(6*x))/5-6*x+45 = 0| y = (27-(6*x))/5
  • (27-6*x)/5-6*x+45 = 0
  • 27/5-36/5*x+45 = 0
  • 252/5-36/5*x = 0
  • 252/5-36/5*x = 0 // - 252/5
  • -36/5*x = -252/5 // : -36/5
  • x = -252/5/(-36/5)
  • x = 7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (27-(6*x))/5: 
  • y = (27-(6*7))/5
  • y = (27-42)/5
  • y = -15/5
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 7

 

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