3x+9y=-9;-2x+6y=30

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Solution for 3x+9y=-9;-2x+6y=30 system of equations: 


  • /| 3*x+9*y+9 = 0| 6*y-2*x-30 = 0
  • We try to solve the equation: 3*x+9*y+9 = 0
  • 3*x+9*y+9 = 0 // - 3*x+9
  • 9*y = -(3*x+9) // : 9
  • y = (-(3*x+9))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((-(3*x+9))/9)-2*x-30 = 0| y = (-(3*x+9))/9
  • (6*(-3*x-9))/9-2*x-30 = 0
  • -4*x-30-6 = 0
  • -4*x-36 = 0
  • -4*x-36 = 0 // + 36
  • -4*x = 36 // : -4
  • x = 36/(-4)
  • x = -9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+9))/9: 
  • y = (-(9-9*3))/9
  • y = (-(9-27))/9
  • y = 18/9
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -9

 

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