###### Example5.1.12

A college has a north campus and a south campus. The north campus has \(18{,}000\) students, and the south campus has \(4{,}000\) students. In the past five years, the north campus lost \(4{,}000\) students, and the south campus gained \(3{,}000\) students. If these trends continue, in how many years would the two campuses have the same number of students? Write and solve a system of equations modeling this problem.