Stephane Dray wrote:

For example:
I would like to obtain x1 from:
x1+x2=8  (x1=8-x2)

x1^2+x2=8 (x1=sqrt(8-x2))


Is is possible in R ? if not, do you know a (free) software that could do the job ?

You want a computer algebra system. Try 'maxima', free, and from here:

 http://maxima.sourceforge.net/

Of course its possible to do in R, you'd just have to rewrite most of maxima....

Barry

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