Can you put two games into a ps3? No. Can you run a ps2 game through a ps3? Depends which one it is, the newer ones aren't back compatible with ps2 games.
Unless you want to completely wreck your Xbox. Putting 2 games in would be absolutely pointless, since the drive can only read one at a time.
No. PlayStation 3 games are not backwards-compatible with the PlayStation 2.
If your PlayStation 3 can play PS2 games, just put your PS2 disc in. However, these games were never released for the PS3.
No as the PlayStation 3 Blu-Ray discs are too large to fit in the DVD slot on the PlayStation 2, although you can play most PlayStation 2 games on American PlayStation 3's and around 50% of PlayStation 2 games on European PlayStation 3's.
No PlayStation 3 games do NOT work on the PlayStation 2 system.
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Playstation 3 can play old Playstation games, but Playstation 2 games are not compatible. You can load some playstation 2 games using the hard drive and an emulator, but not all.