8x+9y=72;-9y-3y=27

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x+3y=14

Solution for 8x+9y=72;-9y-3y=27 system of equations: 


  • /| 8*x+9*y-72 = 0| -9*y-(3*y)-27 = 0
  • We try to solve the equation: 8*x+9*y-72 = 0
  • 8*x+9*y-72 = 0 // - 8*x-72
  • 9*y = -(8*x-72) // : 9
  • y = (-(8*x-72))/9
  • y = (72-(8*x))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -9*((72-(8*x))/9)-(3*((72-(8*x))/9))-27 = 0| y = (72-(8*x))/9
  • (-9*(72-8*x))/9+(-1*3*(72-8*x))/9-27 = 0
  • 32/3*x-96-27 = 0
  • 32/3*x-123 = 0
  • 32/3*x-123 = 0 // + 123
  • 32/3*x = 123 // : 32/3
  • x = 123/32/3
  • x = 369/32
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (72-(8*x))/9: 
  • y = (72-(8*369/32))/9
  • y = (72-369/4)/9
  • y = -81/4/9
  • y = -9/4
  • We get a system of equations:
  • /| y = -9/4| x = 369/32

 

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