Jackie runs and dances for a total of 55 minutes every day. she dances for 25 minutes longer than she runs.

part a: write a pair of linear equations to show the relationship between the number of minutes jackie runs (x) and the number of minutes she dances (y) every day. (5 points)

part b: how much time does jackie spend running every day? show your work. (3 points)

part c: is it possible for jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs? explain your reasoning. (2 points)