7x-3y=26;5x-y=10

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x+3y=14

Solution for 7x-3y=26;5x-y=10 system of equations: 


  • /| 7*x-(3*y)-26 = 0| 5*x-y-10 = 0
  • We try to solve the equation: 7*x-(3*y)-26 = 0
  • 7*x-3*y-26 = 0 // - 7*x-26
  • -3*y = -(7*x-26) // : -3
  • y = (-(7*x-26))/(-3)
  • y = (26-(7*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-((26-(7*x))/(-3))-10 = 0| y = (26-(7*x))/(-3)
  • (-1*(26-7*x))/(-3)+5*x-10 = 0
  • 8/3*x-10+26/3 = 0
  • 8/3*x-4/3 = 0
  • 8/3*x-4/3 = 0 // + 4/3
  • 8/3*x = 4/3 // : 8/3
  • x = 4/3/8/3
  • x = 1/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(7*x))/(-3): 
  • y = (26-(1/2*7))/(-3)
  • y = (26-7/2)/(-3)
  • y = 45/2/(-3)
  • y = -15/2
  • We get a system of equations:
  • /| y = -15/2| x = 1/2

 

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