How can I win back my girlfriend?

Me and my girlfriend have dated for almost 9 months and we've had our ups and downs like most couples. The only thing is we lack communication mostly on her end. I can talk enough for both of us because she never wants to say anything. To my belief I think she is depressed, she has had a rough childhood and past and blames a lot of herself for things that have gone wrong. When we first started dating she told me I was the best thing to happen to her all year long. I was flattered and touched and almost saddened she had been through so much. Her living situation was rough, her mom made her feel unwelcome and kicked her out several times, and when she lived with her sister that was also a disaster. To ist her I said lets get a place together. I know it was very soon but I wanted to help her and I hate living alone. I bought everything for the place and I pay the rent which I know it has made her feel inferior. She wishes she could help but she does not work as much as I do and is still in school. I told her it was okay and she needs to focus on her career. After a couple weeks only we had some issues, trust issues because she was crushing another guy. I lost it when I was talking with her about it and said maybe living together was a bad idea. She took it as me saying she was unwelcome and said she would leave and never come back, I was upset and replied then do it now then and she got dressed and wanted to head out the door. I tried to stop her and said I was sorry, I was angry and I don't want her to leave. Eventually she left but came back because she had no where to go. Now she feels unwelcome in the home I told her was ours and that makes me feel bogus. The next morning I told her again I was sorry and that I do want her to stay, that it would kill me if she left. So instead I packed a bag and left to my friend's house. Now I want her back but don't even know what to do.