title: How to prepare a system of equations for python
body: <p>This <a href="https://www.youtube.com/watch?v=44pAWI7v5Zk" rel="nofollow noreferrer">VIDEO</a> is a really nice demonstration for how to do it in a simplified case - in case of three equations and three variables.</p>
  
  <p>Let's say I wan to solve the following system</p>
  
  <p><a href="https://i.stack.imgur.com/zlFqW.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/zlFqW.png" alt="enter image description here"></a></p>
  
  <p>for variables f1, x1 and x2. Since this is a rather small system I could easily do it manually. But this is a simplified example - in reality my system consists of 100 variables and 100 equations.</p>
  
  <p>So my question is how to separate variables in order to solve this system? How to gather all the variables in one vector and rewrite the system so I can solve it?
  In the end all I want is numerical values for f1, x1 and x2.</p>
  
  <p>ps.: I just made this system by inserting random numbers. I'm not sure the system cae be solved but... you get the idea. (adjust the numerical values in that case).</p>