I tried both cards and they both worked; however, I think I found the problem. Here are my system specs.
Mobo: ASRock Fatal1ty Z77 Professional-M (MicroATX)
CPU: Intel i5-3570K OC to 4.0 GHz
CPU Cooler: Corsair H60
Case Fans: two 140mm (LED), one 140mm, one 120mm (LED), one 120mm
RAM: Corsair Vengeance 8GB 1866 (4 x 2GB)
GPUs: two PowerColor Radeon HD 2GB 7870s GHz Edition in crossfire
SSDs: two 60GB Corsair Force Series 3
HDD: 500GB Seagate Backup Plus
Optical Drives: a DVD/CD RW and a Rosewill USB 2.0 All in One Internal Card Reader (3 USB ports and eSATA)
Other: one 12" Red LED Strip
Power Supply: Thermaltake TR2-600W
I think that I don't have enough power to run both cards at the their stock speeds.