Should I implant my second molar #15 (upper left)?

I'm 28 years old. I have a broken tooth (2nd molar #15) about 2 years ago. My first place dentist was recommend to do root cannal and grown. But I was still a student and I dont have much money for doing that. Until now, the tooth is more broken. I went 2 different dentists place and they all said my tooth can't save it anymore and need to be extracted out. So, please give me an advise. If I do the extraction #15, should I do the implant for the 2nd molar #15? Or is it ok to leave a hole there?