Help with solving set of equations

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buggykong
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I have 6 equations and 6 variables I want to solve for:

[PLAIN]http://people.virginia.edu/~km2mr/Untitled.jpg

What would be the best way to go about solving for Aup, Adown, Bup, Bdown, Cup, and Cdown.

Thanks.
 
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Gauss elimination.
Don't expect anybody to make that trivial, tedious job for you.
 
the easiest way, and the best way obviously, to do this would be arranging it in a matrix and then using gaussian-jordan elimination to reduce the matrix to echelon form and then you would have the variables and their values.

as arildno said, don't expect anybody to do that for you.