### Systems of equations and inequalities

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Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system. The Sega system costs \$600 more than the sum of the Atari and the Nintendo systems. All together, the three game systems cost \$11,000. The Atari system costs \$1100 less than the Nintendo. Determine how much Timmy paid for each game system.

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