4x+9y=-15;x=2-8y

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

Solution for 4x+9y=-15;x=2-8y system of equations: 


  • /| 4*x+9*y+15 = 0| x+8*y-2 = 0
  • We try to solve the equation: 4*x+9*y+15 = 0
  • 4*x+9*y+15 = 0 // - 4*x+15
  • 9*y = -(4*x+15) // : 9
  • y = (-(4*x+15))/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((-(4*x+15))/9)+x-2 = 0| y = (-(4*x+15))/9
  • (8*(-4*x-15))/9+x-2 = 0
  • -23/9*x-40/3-2 = 0
  • -23/9*x-46/3 = 0
  • -23/9*x-46/3 = 0 // + 46/3
  • -23/9*x = 46/3 // : -23/9
  • x = 46/3/(-23/9)
  • x = -6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(4*x+15))/9: 
  • y = (-(15-6*4))/9
  • y = (-(15-24))/9
  • y = 9/9
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -6

 

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