Ways to solve mesh system equations

[homo-sapiens]

Homework Statement

I am going to have my circuit mid-term very soon, and I always used wolfram alpha to solve my mesh system of equations. I am just wondering if there is an easiest accurate way to solve for systems of equations from mesh and nodal analysis. For example, my classmate suggested using matrix to solve for systems of equations.

Homework Equations

The Attempt at a Solution

 

[SteamKing]

It depends on how many unknowns you have to solve for. If it's two or three unknowns, manual matrix methods work OK. If it's more than three unknowns, then hand calculations are too time-consuming and error-prone.

IMO, it's also not a good idea to only let your computer solve your equations for you, no matter how simple they might be. You can't stay sharp mentally if you always are using a crutch like that.