Someone Got to My Deal - Does Making a Backup Offer Work?!?

[Wes Short]

So I just went and saw a property this past weekend and was considering making an offer and then this morning it disappeared from the Zillow and I found that it had a pending offer. 

It was a Section 8 house, listed for $89,000 and was bringing in rent of about $1200 with a current section 8 tenant already living there, and my numbers were showing cashflow of 200+ a month. I of course have no idea what the other offer is but what would you suggest doing? Do backup offers ever end up working and in what scenarios could my offer come to the front of the line?? Any help is appreciated!!