17x+15y=255;x+y=16

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x+3y=14

Solution for 17x+15y=255;x+y=16 system of equations: 


  • /| 17*x+15*y-255 = 0| x+y-16 = 0
  • We try to solve the equation: 17*x+15*y-255 = 0
  • 17*x+15*y-255 = 0 // - 17*x-255
  • 15*y = -(17*x-255) // : 15
  • y = (-(17*x-255))/15
  • y = (255-(17*x))/15
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (255-(17*x))/15+x-16 = 0| y = (255-(17*x))/15
  • (255-17*x)/15+x-16 = 0
  • 17-2/15*x-16 = 0
  • 1-2/15*x = 0
  • 1-2/15*x = 0 // - 1
  • -2/15*x = -1 // : -2/15
  • x = -1/(-2/15)
  • x = 15/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (255-(17*x))/15: 
  • y = (255-(15/2*17))/15
  • y = (255-255/2)/15
  • y = 255/2/15
  • y = 17/2
  • We get a system of equations:
  • /| y = 17/2| x = 15/2

 

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