Nate solves the equation _ x 5=15 by writing and solving 15/5=_. explain why nates method works.

This is because Nate is isolating the variable. For example, in the equation 10x=40, you would divide both sides by 10 in order to get the variable by itself, just as Nate did. Nate is also performing the inverse operation, which allows for one to undo/unravel the question to find the answer.