Serenity is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Serenity scored a total of 16 points and made 3 more two point shots than three point shots. Write a system of equations that could be used to determine the number of two point shots Serenity made and the number of three point shots she made. Define the variables that you use to write the system.

2-pointers --- x

3-pointers ---- y

x = y + 3

2x + 3y = 16