DTI Will Be Too High - Help!

[Shiva Sharma]

Private student loans: 115k

Public student loans: 113k

Mortgage: 135k

Salary: 45k

I have 2 tenants that slightly more than cover my mortgage of $850. I only pay 1/3 of utilities and like $200 for HOA. I refinanced my private student loans to about $760 a month, and my public student loans (income based repayment) will be $150 a month. My monthly take home is about $2.7k.

I would really like to buy a second property, so that I can make extra income to pay off my loans faster. Would I be eligible w/ my circumstances?