[R] can R solve these paired equations

[Robin Hankin]

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:

> Dear:
>
>
>
> I have a paired equation below. Can I solve (x,y) using R.
>
>
>
> Thanks!
>
>
>
> Xin
>
>
>
> A=327.727
>
> B=9517.336
>
> p=0.114^10
>
>
>
> (1-p)*y*(1-x)/x/(1-x^y)=A
>
> A(1+(1-x)*(1+y)/x-A))=B
>
>
>
>
>
> 	[[alternative HTML version deleted]]
>
> ______________________________________________
> R-help at r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting- 
> guide.html
> and provide commented, minimal, self-contained, reproducible code.

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