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@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 ______________________________________________ R-help@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.