When they say carry harder this is what they mean

http://matchhistory.na.leagueoflegends.com/en/#match-details/NA1/1907282467/33783625?tab=stats

I do 3x the dmg of anyone in the game, I got like 3X the kill participation etc...

However it is a farce, because I just came off like a 20 game losing streak where it didnt matter how good i am the enemy team's cumulative power I was unable to overcome because how poor my teams were over and over. Hence yet again you are simply at the mercy of the match maker unless you are a d1 in silver/gold type of skill gap. I am a plat calilber player who is stuck in gold most of the time, sometime i go to plat 2 then match maker slaughters me back down to gold 5 i am helpless to prevent it as a player, because the system rewards teams 100% and never accounts individual play in anyway shape or form yet clearly there are a mountain of metrics that can be used to make adjustments to ensure a much fairer reward system is in place for a solo rank ladder.