When you post a topic in Meta (this) and some other categories soon to be created, you will now have a new option icon on people’s replies.
This will allow you to select someone’s reply as a correct answer to whatever your issue or question was.
You’ll also be able to see what questions have been solved on the topic listings and see a direct link to the solving post in the OP.
There are two new badges associated with answering people’s questions: Little Helper and Tech Support. Both of these are granted automatically when you received your first “answered” flag and when you accumulate 10 answers, respectively.