-12x+14z=-14;-14x-14z=98

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x+3y=14

Solution for -12x+14z=-14;-14x-14z=98 system of equations: 


  • /| 14*z-12*x+14 = 0| -14*x-(14*z)-98 = 0
  • We try to solve the equation: 14*z-12*x+14 = 0
  • 14*z-12*x+14 = 0 // - 14-12*x
  • 14*z = -(14-12*x) // : 14
  • z = (-(14-12*x))/14
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(14*((-(14-12*x))/14))-14*x-98 = 0| z = (-(14-12*x))/14
  • (-1*14*(12*x-14))/14-14*x-98 = 0
  • 14-26*x-98 = 0
  • -26*x-84 = 0
  • -26*x-84 = 0 // + 84
  • -26*x = 84 // : -26
  • x = 84/(-26)
  • x = -42/13
  • We insert the solution into one of the initial equations of our system of equations
  • For z = (-(14-12*x))/14: 
  • z = (-(14-12*(-42/13)))/14
  • z = (-(42/13*12+14))/14
  • z = (-(14+504/13))/14
  • z = -686/13/14
  • z = -49/13
  • We get a system of equations:
  • /| z = -49/13| x = -42/13

 

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