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Matrices with Mathematica 5.1


I would like to solve the system given by:

[1  7  -2  0  -8  -3]
[0  0  1  1    6   5]
[0  0  0  1    3   9]
[0  0  0  0    0   0]

Where the matrix is a typical matrix in the form x1+x2+...+xn = b where
b is the last item in the row.  For example, row 1 could be written as
x1 + 7x2 - 2x3 -8x4 = -3.  How could I get mathematica to solve this
matrix?  I understand how to build a matrix, I just need to know the
operation to run on it.  I tried to use LinearSolve but I did something
wrong.  Is there a built-in operation to solve these matrices?  If so,
please tell.  Thanks.


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