7x-y=26;3x-4y=4

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

Solution for 7x-y=26;3x-4y=4 system of equations: 


  • /| 7*x-y-26 = 0| 3*x-(4*y)-4 = 0
  • We try to solve the equation: 7*x-y-26 = 0
  • 7*x-y-26 = 0 // - 7*x-26
  • -y = -(7*x-26) // * -1
  • y = 7*x-26
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(4*(7*x-26))-4 = 0| y = 7*x-26
  • 3*x-1*4*(7*x-26)-4 = 0
  • 104-25*x-4 = 0
  • 100-25*x = 0
  • 100-25*x = 0 // - 100
  • -25*x = -100 // : -25
  • x = -100/(-25)
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 7*x-26: 
  • y = 4*7-26
  • y = 28-26
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 4

 

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