Well then this isn't a Grasshopper question. Normal common English questions posed to Google nearly always results in hits for various Amazon.com-like pages of review of answers for such questions, for any computer language like Python. 

Google: system of linear equations Python

https://www.google.com/search?q=system+of+linear+equations+Python&a...

Oh, crap, sorry, it needs the popular Numpy library that you can NO LONGER successfully install in Rhino/Grasshopper due to their use of free "open source" .NET shackled IronPython abandonware ( http://www.grasshopper3d.com/forum/topics/scipy-and-numpy ).

So avoid answers that need Numpy.

Many hits also mention Scipy, the other popular math library. That's not even remotely possibly to install in Rhino/Grasshopper.

Here is one goo answer, where a dedicated user plays it out, then some cocky dude shows up with Numpy:

http://code.activestate.com/recipes/578024-solve-simultaneous-linea...

Hi Lluis, hi all,

I wrote a tutorial about using Math.Net Numerics to solve linear equations in GhPython. This should give an idea about how to access its functionality. Otherwise, please feel free to ask.

I hope this is helpful,

Giulio
--
Giulio Piacentino
for Robert McNeel & Associates
giulio@mcneel.com