8x+y=106;x+6y=24

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

Solution for 8x+y=106;x+6y=24 system of equations: 


  • /| 8*x+y-106 = 0| x+6*y-24 = 0
  • We try to solve the equation: 8*x+y-106 = 0
  • 8*x+y-106 = 0 // - 8*x-106
  • y = -(8*x-106)
  • y = 106-(8*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*(106-(8*x))+x-24 = 0| y = 106-(8*x)
  • 6*(106-8*x)+x-24 = 0
  • 636-47*x-24 = 0
  • 612-47*x = 0
  • 612-47*x = 0 // - 612
  • -47*x = -612 // : -47
  • x = -612/(-47)
  • x = 612/47
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 106-(8*x): 
  • y = 106-(8*612/47)
  • y = 106-4896/47
  • y = 86/47
  • We get a system of equations:
  • /| y = 86/47| x = 612/47

 

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