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In 2009, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?
Take a subspace of and a spanning set for .
Take then we have that for every . Since is a spanning set for we have that and then for every .
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