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A youth group with 26 members is going skiing. Each of the five chaperones will drive a van or sedan. The van can seat seven people, and the sedans can seat five people. Assuming there are no empty seats, how many of each type of vehicle could transport all 31 people to the ski area in one trip?
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let x = # of vans let y = # of sedans 5x+7y = 31 x + y = 5
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