If you say that you can live with something, it means that you can endure it, or that you can accept something that isn't exactly what you wanted.
Ex: It certainly isn't ideal having a night shift while my husband works a day shift, since we hardly ever see each other or get to spend time together, but I can live with it, I guess.
Ex: Bob spent a lot of time thinking about which guitar he wanted to buy. He finally decided which model he liked best, but none of the online shops had it in green, the colour he wanted. He decided eventually that he could live with a blue guitar instead.
You can use the phrase live up to when you want to talk about fulfilling expectations. When you live something down, you overcome the shame and embarrassment of some past negative deed or event.
Ex: Frances told us that the new science fiction film was the best thing she'd seen in years, but when we went to see it last weekend, it didn't live up to her description.
If you are able to hold up under pressure, you are able to bear it. Quite often, you may hear of someone who is bears some sort of burden, some kind of problem or knowledge that is stressful. If you can grin and bear it, you can smile your way through carrying that burden.
Ex: I was waiting for my exam results, and the worry was almost too much to bear. Finally, I received an envelope in the post, and discovered that I'd passed every exam with an "A"!
Ex: I'm not sure Jonas' mother was ready for how rambunctious Jonas' twins can be, but after a whole day babysitting them, she was still smiling. That woman knows how to grin and bear it.
If you want to express the idea that someone is waiting patiently through difficulty or an unexpectedly long period of time, you would say they are bearing with it.
Ex: I'm going to do what I can to get your car back on the road, but it's going to take some time. If you can bear with me for a bit longer, I'll have it done and you can be on your way.
Ex: After my interview, the manager told me that the hiring committee had already interviewed many people and still had several to go. He asked if I could bear with them while they made their decision, and said that I'd hear from them by the next week.