I'm trying to get a value in a web application, using some informations. I succeeded on creating this system (I need $x$):
$ \begin{equation} \left\{ \begin{matrix} x & = & \dot a + b - c - (\dot d \cdot \dot e)\\ b & = & f \cdot \dot g\\ f & = & \frac{x - \dot d - h}{1 + \dot i}\\ c & = & \dot \alpha(b)\\ h & = & x \cdot \dot e \end{matrix} \right. \end{equation} $
But it seems I can't solve it. Please, note that I know the value of the dotted variables (like $\dot p$).
My fear is that I can't solve this system. If so, is there a way to approximate the value of $x$?
Any help would be very appreciated.
Thank you!
Edit: I added two equations. I don't know it this can help, anyway I added them. Note that I know the value of $\alpha()$, but I did not put that here because it does not contain any of the variables of the system. It's there as a placeholder for an if statement.