Aside from your income , down payment and the price of the home, the lender also has to consider your FICO score and your debt to income ratio so any lender needs further info in order to tell you whether you qualify for a loan. Please check out the FHA loan and some subsequent loans that are generous to first time homebuyers.
On a positive note: There are plenty of homes you can afford and you don't have to spend that much money. With 5% down you are in the driver's seat in today's market, but don't wait too long as market is rapidly changing and most properties are turning into bidding wars.
I can help you with both, finding a home and financing that home if interested. It's what I do. Call if interested in getting pre-approved - a must these days - if you are looking to buy. 16 years Better Business Bureau.
209-952-4574 (please leave a message if I'm away from my phone.)