A plane flew for a total of $5$ hours, covering a distance of $2100$ miles. For part of the flight, the plane flew with a tailwind at an average speed of $450$ mph. For the rest of the flight, it flew against a headwind at an average speed of $380$ mph. If $t_w$ is the time, in hours, flying with the tailwind and $t_h$ is the time, in hours, flying against the headwind, which system of equations represents this situation?