Should i continue to try n make it work?......?

my bf n i live together. well 2days ago we got into it over bills. he got really stressed out and took it out on me. he said he felt like giving up on us n everything. so i got upset n told him if he wntd to really end it over that, thats really messed up but to jus let me no. so he found everything that goes wrong in our relationship, which isnt much, to use as an excuse to break up. now we're not together but we're still livin together, for now! this is the 3rd time this has happened. i love him so much but im getn tired of going bk n forth we've been together for a year. should i continue to pull us togetha r jus let go?