Can Gaussian Elimination Solve a System with Identical Equations?

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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?
 
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absolutely not
 
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).
 
Haha, I was thinking the same thing.
 

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