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## Homework Statement

I am in a calculus class where we are learning the introduction to row reduction. I have done this before in other courses, so I am familiar with the process, but I am not sure about this one. We were given:

x

_{4}+ 2x

_{5}- x

_{6}= 2

x

_{1}+ 2x

_{2}+ x

_{5}-x

_{6}= 0

x

_{1}+ 2x

_{2}+ 2x

_{3}- x

_{5}+ x

_{6}= 2

We were supposed to: solve for each unknown or tell how many solutions this has(usually something like 0 or infinity).

## Homework Equations

## The Attempt at a Solution

We haven't learned it exactly yet, but there is no real row eschelon form for this, is there? I don't know what all I can do mathematically, it just seems to me that we only have 3 equations and 6 unknowns, so we cannot possibly solve for this, right? Am I missing something here? I wrote out the matrix exactly as it is written (if it didn't state a variable, i set it to 0. e.g. in equation 1, it does not mention x

_{1}through x

_{3}so I made those 0).

No matter what you do, you have a 3x6 matrix with 3 equations and 6 unknowns.

Am I missing something here? How could I mathematically answer this question and not just state what I have stated above?

Any help would be appreciated, thanks.