Comparing two college enrollments, we have college "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year. College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year. Determine the year at which both schools will have the same enrollment, and what that enrollment would be.

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Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
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Comparing two college enrollments, we have college "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year. College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year. Determine the year at which both schools will have the same enrollment, and what that enrollment would be. 

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Step 1

Let x years after 2005 both schools will have the same enrollment.

College "A," that had 14,100 students in 2005, and projected enrollment increases of 1500 students per year.

So, after x years number of students = 14100+1500x

Step 2

College "B" had 2005 enrollment of 41,700, and a projected enrollment decline of 800 students per year.

So, after x years number of students = 41700-800x

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