Well, what can we say on this topic that has not been said already for generations to millions of young kids all over the globe!
The thing is that mathematically speaking we do it in the good old (Guassian) way. We do hope though that the user interface we provide here is refreshing. If you have not already experimented a bit with the tools we provide for row operations we suggest you do this before you proceed to solve your equations.
In case you do not have any background in this topic and/or you wish to have a look again at the basics, you are invited to our back to basics discussion on the subject.
Just do it
*** This phrase is borrowed from Sid Yakowitz' business card.