3y-9x=3;4y-6x=6

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Solution for 3y-9x=3;4y-6x=6 system of equations: 


  • /| 3*y-(9*x)-3 = 0| 4*y-(6*x)-6 = 0
  • We try to solve the equation: 3*y-(9*x)-3 = 0
  • 3*y-9*x-3 = 0 // + -9*x-3
  • 3*y = -(-9*x-3) // : 3
  • y = (-(-9*x-3))/3
  • y = (3-(-9*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((3-(-9*x))/3)-(6*x)-6 = 0| y = (3-(-9*x))/3
  • (4*(9*x+3))/3-6*x-6 = 0
  • 6*x-6+4 = 0
  • 6*x-2 = 0
  • 6*x-2 = 0 // + 2
  • 6*x = 2 // : 6
  • x = 2/6
  • x = 1/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3-(-9*x))/3: 
  • y = (3-(-9*1/3))/3
  • y = (3+3)/3
  • y = 6/3
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 1/3

 

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