6X+13Y=39;2X-7Y=-35

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Solution for 6X+13Y=39;2X-7Y=-35 system of equations: 


  • /| 6*X+13*Y-39 = 0| 2*X-(7*Y)+35 = 0
  • We try to solve the equation: 6*X+13*Y-39 = 0
  • 6*X+13*Y-39 = 0 // - 6*X-39
  • 13*Y = -(6*X-39) // : 13
  • Y = (-(6*X-39))/13
  • Y = (39-(6*X))/13
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*X-(7*((39-(6*X))/13))+35 = 0| Y = (39-(6*X))/13
  • (-1*7*(39-6*X))/13+2*X+35 = 0
  • 68/13*X-21+35 = 0
  • 68/13*X+14 = 0
  • 68/13*X+14 = 0 // - 14
  • 68/13*X = -14 // : 68/13
  • X = -14/68/13
  • X = -91/34
  • We insert the solution into one of the initial equations of our system of equations
  • For Y = (39-(6*X))/13: 
  • Y = (39-(-91/34*6))/13
  • Y = (273/17+39)/13
  • Y = 936/17/13
  • Y = 72/17
  • We get a system of equations:
  • /| Y = 72/17| X = -91/34

 

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