The given system of equations appears to represent node-voltage equations from a circuit analysis. Here's a transcription of the two equations:

1. $\frac{V_a - 4V}{1500 \, \Omega} + \frac{V_a}{1200 \, \Omega} + \frac{V_a - V_b}{2200 \, \Omega} = 0$
2. $\frac{V_b - V_a}{2200 \, \Omega} + \frac{V_b}{1800 \, \Omega} + \frac{V_b}{1105.71 \, \Omega} = 0$

We can solve this system of equations for the node voltages $V_a$ and $V_b$. Let me start by simplifying each equation step-by-step.

Simplifying the first equation:

$\frac{V_a - 4}{1500} + \frac{V_a}{1200} + \frac{V_a - V_b}{2200} = 0$

Simplifying the second equation:

$\frac{V_b - V_a}{2200} + \frac{V_b}{1800} + \frac{V_b}{1105.71} = 0$

Would you like me to proceed with solving the system numerically or symbolically, and how would you prefer the explanation?