4y+x=5;6x-12y=3

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x+3y=14

Solution for 4y+x=5;6x-12y=3 system of equations: 


  • /| x+4*y-5 = 0| 6*x-(12*y)-3 = 0
  • We try to solve the equation: x+4*y-5 = 0
  • x+4*y-5 = 0 // - x-5
  • 4*y = -(x-5) // : 4
  • y = (-(x-5))/4
  • y = (5-x)/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-(12*((5-x)/4))-3 = 0| y = (5-x)/4
  • (-1*12*(5-x))/4+6*x-3 = 0
  • 9*x-15-3 = 0
  • 9*x-18 = 0
  • 9*x-18 = 0 // + 18
  • 9*x = 18 // : 9
  • x = 18/9
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-x)/4: 
  • y = (5-2)/4
  • y = 3/4
  • We get a system of equations:
  • /| y = 3/4| x = 2

 

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