augcoefmatrix and linsolve



dear group,

given a linear system m:[x+y=2,x-y=3] one gets the augmented system matrix via

augcoefmatrix(m)= [1  1 -2]
                  [1 -1 -3].

Working with matrices and solving linear systems I need the 'inverse' procedure:
given a   m x n-matrix e.g.
 
A: [1  1 -2]
   [1 -1 -3]

I want to automatic construct the right 'input'list [x+y=2,x-y=3] to feed
linsolve([x+y=2,x-y=3],[x,y]).

Is there a maxima function who can do this?

HTH Wolfgang