Hard carrying in Silver should be fairly easy. I think gold has way too many discrepancies in skill level to successfully hard carry consistently. This would possibly be due to the result of dynamic queue, boosting players far from the skill and knowledge level of gold to actually be in gold. I see people who do terrible more than enough times, who, by some miraculous way, reach mid-high gold.
I feel people die way too quickly and give up way too many advantages before you can actually accomplish something. The only thing I can say, is that you have to be so good, that you can get fed much faster than the enemy has time to react. That, would normally depend on your laner and how well they are. If it's an easily abusable laner, you should be able to carry rather than against a laner who actually knows how to play safe.