5x-4y=23;2x-8y=22

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Solution for 5x-4y=23;2x-8y=22 system of equations: 


  • /| 5*x-(4*y)-23 = 0| 2*x-(8*y)-22 = 0
  • We try to solve the equation: 5*x-(4*y)-23 = 0
  • 5*x-4*y-23 = 0 // - 5*x-23
  • -4*y = -(5*x-23) // : -4
  • y = (-(5*x-23))/(-4)
  • y = (23-(5*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-(8*((23-(5*x))/(-4)))-22 = 0| y = (23-(5*x))/(-4)
  • (-1*8*(23-5*x))/(-4)+2*x-22 = 0
  • 46-8*x-22 = 0
  • 24-8*x = 0
  • 24-8*x = 0 // - 24
  • -8*x = -24 // : -8
  • x = -24/(-8)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (23-(5*x))/(-4): 
  • y = (23-(3*5))/(-4)
  • y = (23-15)/(-4)
  • y = 8/(-4)
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 3

 

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