can R solve these paired equations

Turn your problem into an optimization one and use the various  
optimization abilities of R, for instance have a look at nlm:

?nlm

As an example to solve the rather simple:
x-y=0
x+y=2

We could do:

f <- function(vals) {
	x <- vals[1]
	y <- vals[2]
	sum(c(x-y,x+y-2)^2)
}
nlm(f, c(2,2))

PS: A google search for "rhelp solving nonlinear system of equations"  
would likely have given you some starting points.
PS2: Perhaps someone more expert could comment on the differences  
between optim, nlm and nlminb.

Haris Skiadas
Department of Mathematics and Computer Science
Hanover College

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

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

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





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