-16+20x-8y=0;36=-18y-22x

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for example:
2x+y=8
x+3y=14

Solution for -16+20x-8y=0;36=-18y-22x system of equations: 


  • /| 20*x-(8*y)-16 = 0| 22*x-(-18*y)+36 = 0
  • We try to solve the equation: 20*x-(8*y)-16 = 0
  • 20*x-8*y-16 = 0 // - 20*x-16
  • -8*y = -(20*x-16) // : -8
  • y = (-(20*x-16))/(-8)
  • y = (16-(20*x))/(-8)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 22*x-(-18*((16-(20*x))/(-8)))+36 = 0| y = (16-(20*x))/(-8)
  • (-18*(-1)*(16-20*x))/(-8)+22*x+36 = 0
  • 67*x-36+36 = 0
  • 67*x = 0
  • 67*x = 0 // : 67
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-(20*x))/(-8): 
  • y = (16-(0*20))/(-8)
  • y = (0+16)/(-8)
  • y = 16/(-8)
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 0

 

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