Question

how does your skeletal, muscular, circulatory, endocrine, and nervous systems work together to make you react to a burn

Answer 1

Im pretty sure this is how it works:
you burn yourself,
immediately, you jump back because obviously, it hurts
That part (the jump back) is your skeletal and muscular working together to move you away from the danger

This is called the fight or flight response.
This time, you took flight from the danger. hop this helped a bit, if not, i can edit and add more for ya :)