The equations are used to solve a puzzle posted at

http://www.mathcad.com/library/Library content/puzzle.asp?num=15

There are other ways of solving the puzzle, but I'm just wondering how these set of equations could be solved. I tried, but it got messy or just went round and round and ended up at the same place where I started.

I then concluded that it was impossible to solve the equations.

However, when I viewed the solutions provided, one solution makes use of the same set of equations, except the steps for solving them are not shown.

I would like to take this opportunity to make a request to the web-master:

Is it possible for this site to be improved so that diagrams could be posted ? This will make presentation of ideas easier, and much more fun as more complicated and interesting questions could be discussed.

Or maybe diagrams created by using MSWords can be attached with messages posted?