-x-2y=16;2x-y=13

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

Solution for -x-2y=16;2x-y=13 system of equations: 


  • /| -x-(2*y)-16 = 0| 2*x-y-13 = 0
  • We try to solve the equation: -x-(2*y)-16 = 0
  • -x-2*y-16 = 0 // + -x-16
  • -2*y = -(-x-16) // : -2
  • y = (-(-x-16))/(-2)
  • y = (x+16)/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-((x+16)/(-2))-13 = 0| y = (x+16)/(-2)
  • (-1*(x+16))/(-2)+2*x-13 = 0
  • 5/2*x-13+8 = 0
  • 5/2*x-5 = 0
  • 5/2*x-5 = 0 // + 5
  • 5/2*x = 5 // : 5/2
  • x = 5/5/2
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+16)/(-2): 
  • y = (2+16)/(-2)
  • y = 18/(-2)
  • y = -9
  • We get a system of equations:
  • /| y = -9| x = 2

 

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