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Gaussian Elimination Question

  1. Nov 7, 2007 #1
    2x+3y+3z=7
    2x+3y+3z=7
    2x+3y+3z=7

    Using Gaussian Elimination... is it possible to find the value of x,y,z with three similar equation?
     
  2. jcsd
  3. Nov 7, 2007 #2
    absolutely not
     
  4. Nov 7, 2007 #3

    HallsofIvy

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    Science Advisor

    Actually it is. Not ONE value of course, there are an infinite number of (x, y, z) triples that satisfy 2x+ 3y+ 3z= 7 and you really only have one equation. In 3 dimensions 2x+ 3y+ 3z= 7 is the equation of a plane. Any (x,y,z) point on that plane satisfies that equation (and so, all "three" of your given equations).
     
  5. Nov 7, 2007 #4

    JasonRox

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    Gold Member

    Haha, I was thinking the same thing.
     
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