Someone told me that he has seen software systems that:
You can't - in theory. The whole point of a hash is that it's one way only. This means that if someone manages to get the list of hashes, they still can't get your password. Additionally it means that even if someone uses the same password on multiple sites (yes, we all know we shouldn't, but...) anyone with access to the database of site A won't be able to use the user's password on site B.
The fact that MD5 is a hash also means it loses information. For any given MD5 hash, if you allow passwords of arbitrary length there could be multiple passwords which produce the same hash. For a good hash it would be computationally infeasible to find them beyond a pretty trivial maximum length, but it means there's no guarantee that if you find a password which has the target hash, it's definitely the original password. It's astronomically unlikely that you'd see two ASCII-only, reasonable-length passwords that have the same MD5 hash, but it's not impossible.
MD5 is a bad hash to use for passwords:
I'm not a security expert, so won't make a concrete recommendation beyond "Don't roll your own authentication system." Find one from a reputable supplier, and use that. Both the design and implementation of security systems is a tricky business.