"The report system doesn't work" - Why that's a GOOD thing.
The report system is there to identify hateful, spiteful, people who get some strange kick out of insulting strangers on the internet.
It is NOT there for you to blame your teammates because you lost. You lose games. Pros lose games. Even Faker lost a game. Every single game, one team is going to lose. There are always losers. Sometimes, it is your turn.
The reason the report system "doesn't work" is that toxic players are the ones most eager to report their teammates. If the report system actually banned every player who got reported, there would be nothing but toxic players in LoL for a while, then there would be no one left at all.
Stop treating the report system like it's your own personal griefing tool. Learn to play better, or just learn that no matter how good you play, and how skilled or unskilled your teammates are, you WILL lose games anyway.
One of my friends worked as a dispatcher for 911 (emergency help line in the USA for you non-Americans). She said it's a big problem getting help to people in time because 911 gets a lot of phony, prank, or otherwise unimportant phone calls.
If people actually used the report system the way it was intended, it would be a lot easier for Riot to keep the real hateful, spliteful immature people out of this game.