Personally, I don't see how algebra could help. Algebra is an advance form of mathematics. For monthly finances, you would need to do the following:
1. Figure out your how much you make monthly ( I would round to the nearest 5)
2. Decide what needs to be paid (i.e. bills, groceries, etc)
3. Figure in luxury expenses ( going to the movies, dates, etc.) and then just figure out what costs you can cut to leave you with enough money to live on. No complicated equations needed