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question: re-organising equations



I have a set of simultaneous equations which are very long and so I will 
not include them here. They take the form of:

    x = f(A,B,C,D)
    y = f(A,B,C,D)
    z = f(A,B,C,D)
    w = f(A,B,C,D)

I would like to re-organise these into the form:
   
    A = f(x,y,z,w)
    B = f(x,y,z,w)
    C = f(x,y,z,w)
    D = f(x,y,z,w)

May I trouble you for some suggestions as to how this can be achieved?   


Thank you,

David Hanson
Research Postgraduate
UNSW, Kensington 2052 NSW


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