Personally to help me from not tilting as much is that I have /all chat off. It's bad enough when a team member goes off at another for their own fault, and/or personally the one getting yelled at is just doing bad. I don't need and outside source to add onto that. As to add onto that, I really don't talk to my team much because adding to the situation just makes them int/tilt/flame even more. Encourage them to not give up, and play passively to gain their cool. A good, gj/nj/ty for the gank/assist, seems to have kept most of my team match ups spirits high. Yes it doesn't seem to do much, but letting that positive out put from you can make a little difference. Though I strongly suggest you report the toxic people.
I guess as some suggestions to making a difference. I've not looked at your account to know what lane you play, but for the most part pings are a good start to try to get someone to not tunnel vision during the game. Vision, vision, vision! Mini-map awareness is good. Know what it means to collapse. It annoys to see people not doing it enough when in low ranks you should at least "try" to make an attempt at this. As a support, I guess if you know what hyper carry means, learn that since most ADC's are struggling in Bronze and Silver. It's not the best suggestion, but a strong support that just isn't a support has made my climb, this year, a better experience.
Also pick a champ that you know, or at that you know that can handle most of the enemy's team. I strongly don't suggest playing a champion that you don't know how to play or don't have much experience with. Go play normal games instead of ranked for that.
As support perspective: Lux is good, but some times you might need to pick a good tank like Leona or Naut.
ADC perspective: Caitlyn is good for those that need to feel comfortable auto attacking a further range for CS and those possible annoying Supports.
As for ADC, my go-to's are based on the enemy's team engagements. Knowing disengage is just as good and engaging them. Just because you're fed, doesn't mean their team cannot put your in your place for you being cocky. Know that Mortal Reminder is good against people like Olaf and Mundo, and Lord Dominik's Regards is geared healthy armored tanks.
Look at item builds. Maybe there is something you can get that they have that might give you insight on how they're getting you killed too fast. You might need some armor to cool some of the dmg from the ADC, or MR/QSS from Zoe landing stupid long Q's or E's through walls.
(I know this is more about support and adc, but suggestions in seeing on how my choices are made should give you a clue on how you should look at your position in game)
Hopefully this might help you.