Yes thank you, I realised this last night also :) It's pretty much exactly 
what I was looking for, so thanks!

On Saturday, 29 June 2013 07:36:46 UTC+10, Aaron Meurer wrote:
>
> You could solve for just two of the variables, like sym.solve((eq1, 
> eq2, eq3), (z, x)). 
>
> Aaron Meurer 
>
> On Fri, Jun 28, 2013 at 3:56 PM, Ondřej Čertík 
> <ondrej...@gmail.com<javascript:>> 
> wrote: 
> > Hi Thomas, 
> > 
> > On Thu, Jun 27, 2013 at 8:32 PM, Thomas Moore 
> > <tomm...@live.com.au<javascript:>> 
> wrote: 
> >> I'm contemplating using sympy in a program which will need to 
> symbolically 
> >> solve a set of simultaneous and possibly non-linear equations. However, 
> it's 
> >> obviously not possible to find symbolic solutions in many cases, but if 
> >> sym.solve can't find an explicit solution what I'd really like is for 
> some 
> >> way of delivering a simplified set of simultaneous equations. 
> >> 
> >> Let me give an example which gives me some hope: 
> >> 
> >>      eq1 = x + y - sym.log(x) - 3 
> >>      eq2 = x**2 + z**2 - 4 
> >>      eq3 = x + y - 15*z - 100 
> >> 
> >>      sym.solve((eq1, eq2, eq3), (x,y,z)) 
> >> 
> >> Obviously this is going to be tough to solve completely, and Sympy does 
> >> fail, but the error I recieve is: 
> >> 
> >>     NotImplementedError: could not solve 15*z - log(sqrt((-z + 2)*(z + 
> 2))) 
> >> + 97 
> >> 
> >> And it looks like, under the hood, Sympy has in fact almost completely 
> >> simplified the equations. We have an equation in terms of z alone, and 
> >> (hopefully) we could have a second equation in terms of x and z and 
> then a 
> >> third equation in terms of all three variables. 
> >> 
> >> I'm just wondering if there is some function within sympy to simplify 
> sets 
> >> of simultaneous equations by eliminating variables. 
> > 
> > I don't know how to do that, apart from manually substituting one 
> > equation into the other. 
> > Do you know the structure of your equations? 
> > 
> > How do you generate them, where do they come from? Maybe it is 
> > possible to design an algorithm that can do what you want. 
> > 
> > Ondrej 
> > 
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