Dear Berend,
Thankyou very much indeed for you reply. By taking help from your previous 
reply @ http://r.789695.n4.nabble.com/Simultaneous-equations-td2524645.html i 
was able to generate the following loop for the calculation of x=x[1] and 
y=x[2]. 

fun <- function(x) { 


                f <-
numeric(length(x))                                                              
                   #
read as:



f[1] <- 
1-0.514-(gamma(1/x[1])*gamma(2/x[1]-1/x[2]))/(gamma(2/x[1])*gamma(1/x[1]-1/x[2]))



                f[2]
<- 0.57-
(gamma(1/x[1]-1/x[2])/gamma(1/x[1])-3*gamma(2/x[1]-1/x[2])/gamma(2/x[1])+2*gamma(3/x[1]-1/x[2])/gamma(3/x[1]))/(gamma(1/x[1]-1/x[2])/gamma(1
/x[1])-gamma(2/x[1]-1/x[2])/gamma(2/x[1]))



                f 


} 



startx <- c(0.1,0.15) # start the answer search here


answers<-as.data.frame(nleqslv(startx,fun))


answers
What i cant understand is the concept involved for setting "startx". my x[1] 
should always be smaller than x[2] and they both should be less than 1. how can 
i demonstrate it to startx command line?
thanks for your help. I m grateful.
  Eliza



> Subject: Re: [R] solving simultaneous Equations in R
> From: b...@xs4all.nl
> Date: Wed, 11 Dec 2013 12:43:02 +0100
> CC: r-help@r-project.org
> To: eliza_bo...@hotmail.com
> 
> 
> On 11-12-2013, at 12:16, eliza botto <eliza_bo...@hotmail.com> wrote:
> 
> > Dear users of R,
> > I'm trying to solve the following 2 equations simultaneously in R for "x" 
> > and "y". I couldn't get through due to my limited knowledge of R.
> > 
> > 3=1-[(x-1)!(2x-y-1)!/(2x-1)!(x-y-1)!] 
> > 
> > 6={[(x-y-1)!/(x-1)!]-[3(2x-y-1)!/(2x-1)!]+[2(3x-y-1)!/(3x-1)!]}/{[(x-y-1)!/(x-1)!]-[(2x-y-1)!/(2x-1)!]}
> > 
> > obviously, ! is factorial.
> > kindly help me out on it or at least suggest something.
> > I'll be extremely grateful.
> 
> There are several packages that solve a system of equations.
> ktsolve, nleqslv, BB, which you can find in CRAN Task views: "Numerical 
> Mathematics” and “Optimization”.
> 
> You will have to write your equations in standard R notation.
> I can’t tell if your system is solvable.
> 
> Berend
> 
> > Eliza
> > 
> > 
> >                                       
> >     [[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.
> 
                                          
        [[alternative HTML version deleted]]

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