In 2015, 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 2015. Write, but do not solve, an equation that can be used to find how many years after 2015 the colleges will have the same enrollment.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 these questions: In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

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7 8 9 X 11 12 13 14 15 16 17 X=7 Y₁ | Y2 24600 36100 26100 35300 27600 34500 29100 33700 30600 32900 32100 32100 33600 31300 35100 30500 36600 29700 38100 28900 39600 28100