9x+2y=-9;x=78-9y

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

Solution for 9x+2y=-9;x=78-9y system of equations: 


  • /| 9*x+2*y+9 = 0| x+9*y-78 = 0
  • We try to solve the equation: 9*x+2*y+9 = 0
  • 9*x+2*y+9 = 0 // - 9*x+9
  • 2*y = -(9*x+9) // : 2
  • y = (-(9*x+9))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*((-(9*x+9))/2)+x-78 = 0| y = (-(9*x+9))/2
  • (9*(-9*x-9))/2+x-78 = 0
  • -79/2*x-78-81/2 = 0
  • -79/2*x-237/2 = 0
  • -79/2*x-237/2 = 0 // + 237/2
  • -79/2*x = 237/2 // : -79/2
  • x = 237/2/(-79/2)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(9*x+9))/2: 
  • y = (-(9-3*9))/2
  • y = (-(9-27))/2
  • y = 18/2
  • y = 9
  • We get a system of equations:
  • /| y = 9| x = -3

 

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