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can R solve these paired equations

Hello

[An answer was posted just now using numerical ideas;
here is an answer from a symbolic perspective]

These equations involve x^y in more than one unknown,
so inverse functions cannot be used.

I do not think you will be able to characterize even the number
of solutions, let alone their nature.

To see the difficulty, look at the Lambert W function.

My advice would be to simplify, simplify, simplify
your problem as far as possible; remove terms
successively until you are left with a trivial
system, then add *one* term and see if
this produces any insights.

HTH

rksh
On 17 Dec 2007, at 05:43, Xin wrote:

            
--
Robin Hankin
Uncertainty Analyst and Neutral Theorist,
National Oceanography Centre, Southampton
European Way, Southampton SO14 3ZH, UK
  tel  023-8059-7743