You need to play a hard-snowballing champion, every game. You have to win your lane, HARD, every game. You cannot die to ganks, period, every game. You need to hit at least 80 cs at 10 mins, every game, and stomp on your lane so hard that you get first blood tower, every game. You need to take rift, every game, and use it to kill bot lane tower, every game. You need to track the enemy jungler and make plays on them when they are low, every game, and counterjungle, every game. You need to be doing something proactive whenever you shove your lane out, every game. You need to delay your back til the last possible moment, so you can get as much done while you are on the map, every game. You need to have perfect mechanics, and take maximum advantage of every single mistake that every player on the enemy team makes, every game.
Basically, in order to escape Silver in any reasonable amount of time, you need to bump your play up to Diamond 1 / Master level, every game. Don't be fooled though, it doesn't mean you'll reach Diamond 1 / Master, because after being silver for so long, your MMR will be averaged out to Silver level after so many games, and eventually you will hit a wall where you start losing more LP for a loss than you gain for a win.
and bot lane 
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