Steve bought used and new video games from a web site. The new games cost $54 each and the used games cost $9 each. He spent no more than $243 on the video games, and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games. If Steve spent exactly $243 and bought 7 video games, what can you conclude about how many of each video game Steve bought?