At the start of the​ millennium, State A was the third most populous state in the​ country, followed by State B. Since that​ time, State B has experienced faster growth. The population y​ (in millions) of the given state in year x is approximated by the following​ equations, where x0 corresponds to the year 2000. In what year did State B overtake State A in​ population? To the nearest​ million, what was the population of these states at that​ time?

(if you could show your work, that would be greatly appreciated)