5x-4y=14;7x-4y=26

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

Solution for 5x-4y=14;7x-4y=26 system of equations: 


  • /| 5*x-(4*y)-14 = 0| 7*x-(4*y)-26 = 0
  • We try to solve the equation: 5*x-(4*y)-14 = 0
  • 5*x-4*y-14 = 0 // - 5*x-14
  • -4*y = -(5*x-14) // : -4
  • y = (-(5*x-14))/(-4)
  • y = (14-(5*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*x-(4*((14-(5*x))/(-4)))-26 = 0| y = (14-(5*x))/(-4)
  • (-1*4*(14-5*x))/(-4)+7*x-26 = 0
  • 2*x-26+14 = 0
  • 2*x-12 = 0
  • 2*x-12 = 0 // + 12
  • 2*x = 12 // : 2
  • x = 12/2
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (14-(5*x))/(-4): 
  • y = (14-(5*6))/(-4)
  • y = (14-30)/(-4)
  • y = -16/(-4)
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 6

 

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