Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

Hannah is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 2 clients, charging a total of $248. Today, she did 1 haircut, charging a total of $50. How much does Hannah charge for her services?

Hannah charges $ for a haircut and $ for a coloring.