x/4+y=7/4;-x+4y=-7

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

Solution for x/4+y=7/4;-x+4y=-7 system of equations: 


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

 

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