15x-8y=-104;5x-11y=-18

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

Solution for 15x-8y=-104;5x-11y=-18 system of equations: 


  • /| 15*x-(8*y)+104 = 0| 5*x-(11*y)+18 = 0
  • We try to solve the equation: 15*x-(8*y)+104 = 0
  • 15*x-8*y+104 = 0 // - 15*x+104
  • -8*y = -(15*x+104) // : -8
  • y = (-(15*x+104))/(-8)
  • y = (15*x+104)/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(11*((15*x+104)/8))+18 = 0| y = (15*x+104)/8
  • (-1*11*(15*x+104))/8+5*x+18 = 0
  • 18-125/8*x-143 = 0
  • -125/8*x-125 = 0
  • -125/8*x-125 = 0 // + 125
  • -125/8*x = 125 // : -125/8
  • x = 125/(-125/8)
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15*x+104)/8: 
  • y = (104-8*15)/8
  • y = (104-120)/8
  • y = -16/8
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -8

 

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