3x-2y=1;5x=5-25y

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Solution for 3x-2y=1;5x=5-25y system of equations: 


  • /| 3*x-(2*y)-1 = 0| 5*x+25*y-5 = 0
  • We try to solve the equation: 3*x-(2*y)-1 = 0
  • 3*x-2*y-1 = 0 // - 3*x-1
  • -2*y = -(3*x-1) // : -2
  • y = (-(3*x-1))/(-2)
  • y = (1-(3*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 25*((1-(3*x))/(-2))+5*x-5 = 0| y = (1-(3*x))/(-2)
  • (25*(1-3*x))/(-2)+5*x-5 = 0
  • 85/2*x-25/2-5 = 0
  • 85/2*x-35/2 = 0
  • 85/2*x-35/2 = 0 // + 35/2
  • 85/2*x = 35/2 // : 85/2
  • x = 35/2/85/2
  • x = 7/17
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(3*x))/(-2): 
  • y = (1-(7/17*3))/(-2)
  • y = (1-21/17)/(-2)
  • y = -4/17/(-2)
  • y = 4/17/2
  • y = 2/17
  • We get a system of equations:
  • /| y = 2/17| x = 7/17

 

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