3x-2y=6;5x-5-25y

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for example:
2x+y=8
x+3y=14

Solution for 3x-2y=6;5x-5-25y system of equations:


  • /| 3*x-(2*y)-6 = 0| 5*x-(25*y)-5 = 0
  • We try to solve the equation: 3*x-(2*y)-6 = 0
  • 3*x-2*y-6 = 0 / - 3*x-6
  • -2*y = -(3*x-6) / : -2
  • y = (-(3*x-6))/(-2)
  • y = (6-(3*x))/(-2)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*x-(25*((6-(3*x))/(-2)))-5 = 0| y = (6-(3*x))/(-2)
  • (-1*25*(6-3*x))/(-2)+5*x-5 = 0
  • 75-65/2*x-5 = 0
  • 70-65/2*x = 0
  • 70-65/2*x = 0 / - 70
  • -65/2*x = -70 / : -65/2
  • x = -70/(-65/2)
  • x = 28/13
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(3*x))/(-2):
  • y = (6-(28/13*3))/(-2)
  • y = (6-84/13)/(-2)
  • y = -6/13/(-2)
  • y = 6/13/2
  • y = 3/13
  • We get a system of equations:
  • /| y = 3/13| x = 28/13

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