-9x-3y27;8x+9y72

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2x+y=8
x+3y=14

Solution for -9x-3y27;8x+9y72 system of equations: 


  • /| -9*x-(3*y)-27 = 0| 8*x+9*y-72 = 0
  • We try to solve the equation: -9*x-(3*y)-27 = 0
  • -9*x-3*y-27 = 0 // + -9*x-27
  • -3*y = -(-9*x-27) // : -3
  • y = (-(-9*x-27))/(-3)
  • y = (27-(-9*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*((27-(-9*x))/(-3))+8*x-72 = 0| y = (27-(-9*x))/(-3)
  • (9*(9*x+27))/(-3)+8*x-72 = 0
  • -19*x-81-72 = 0
  • -19*x-153 = 0
  • -19*x-153 = 0 // + 153
  • -19*x = 153 // : -19
  • x = 153/(-19)
  • x = -153/19
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (27-(-9*x))/(-3): 
  • y = (27-(-9*(-153/19)))/(-3)
  • y = (27-(153/19*9))/(-3)
  • y = (27-1377/19)/(-3)
  • y = -864/19/(-3)
  • y = 864/19/3
  • y = 288/19
  • We get a system of equations:
  • /| y = 288/19| x = -153/19

 

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