x-4y=3;-x+3y=-1

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

Solution for x-4y=3;-x+3y=-1 system of equations: 


  • /| x-(4*y)-3 = 0| 3*y-x+1 = 0
  • We try to solve the equation: x-(4*y)-3 = 0
  • x-4*y-3 = 0 // - x-3
  • -4*y = -(x-3) // : -4
  • y = (-(x-3))/(-4)
  • y = (3-x)/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((3-x)/(-4))-x+1 = 0| y = (3-x)/(-4)
  • (3*(3-x))/(-4)-x+1 = 0
  • 1-1/4*x-9/4 = 0
  • -1/4*x-5/4 = 0
  • -1/4*x-5/4 = 0 // + 5/4
  • -1/4*x = 5/4 // : -1/4
  • x = 5/4/(-1/4)
  • x = -5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3-x)/(-4): 
  • y = (3+5)/(-4)
  • y = 8/(-4)
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -5

 

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