In 2010, there were 14,100 students at college A, with a projected enrollment increase of...

In 2010, 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.

a. Let x represent the number of years after 2010. Write, but do not solve, an equation that can be used to find how many years after 2010 the colleges will have the same enrollment.

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b. The following table is based on your equation in part (a). Y1 represents one side of the equation and Y2 represents the other side of the equation. Use the table to answer the following questions: In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?