10 Days, and over 25 hours, for 1 win...

I feel your pain - I'm in more or less the same position. But I remind myself at the beginning of every match that solo queueing gets me random teammates of random skill levels, as well as random and inconsistent play styles, and that this is the price we pay for the solo queue. The upside, which is harder to see but there just the same: I'm often facing enemies of much, much higher skill on the rare occasions I go in with a pre-made squad. So skill-based matchmaking is far from perfect, but it limps along as best it can.

Most important of all: use your mic. It doesn't matter if they're not using theirs - they can still hear you, and I often find that if I'm encouraging them and not berating them... I sometimes get some pleasantly surprising results.

Food for thought, and best of luck.