yes it will, but your CPU+Motherboard will be your limiting factor - it will Bottleneck the 7850, but not as much as a dual core, Your PCIe slot is a version 1.0, the 7850 is version 3.0, but backward compatible and can be used on 2.0 and 1.0, i would consider upgrading the CPU+Mobo+ Ram combo to get the full performance of the 7850