PSA: MMR is not Rank, and Rank is MMR
Also, neither Rank nor MMR is Elo. Since the addition of the League system way back in Season 3, Elo is no longer relevent to league.
That same update changed the matchmaking system to use a hidden MMR. **The hidden part is important. ** Riot has never released exactly how this number is determined, not even what stats factor in. It's safe to say that win/loss ratio is used but with the number of other factors that could possibly be used to calculate it (KDA, damage dealt, champion mastery, time spent dead, number of games played ect) it's also safe to say that W/L ratio is not the ONLY thing used to calculate MMR.
Also important: Rank only slightly reflects MMR! Everyone knows you have two different MMR's between ranked and normals, but in normals it's 100% hidden. Rank is used as an indicator, but does not actually show someone's MMR. Same for LP gains/losses or any other stat.
People can complain about matchmaking and unbalanced games and smurfs and boosting all they want. Those are problems we know exist. But PLEASE don't say "we can't do this thing because it ruins MMR"or "the MMR system is the cause of this problem"! We simply don't know.