You can try whatever you like; some people do mix on more home/hi-fi type speakers. Monitors (good ones) differ from "hyped" stereo speakers in that they are "flat response" devices; in other words, there won't be any added coloration to the sound-- what you hear is what you get and this really aids in the mix process.
I would not use a 5.1 or 7.1 system to mix, unless your primary format, market, and audience will be for surround/5.1/7.1. Most people listen to music in stereo, however.
GJ