2. Cathy found a part-time job for the summer. Each week. when she works up to 1t] hours, she earns a regular hourly wage. If she works more than 1t] hours each week, she earns more money per hour for the overtime hours. She worked 14.5 hours during the rst week. Her paycheck. before taxes and deductions, was $152.53. The second week, she worked 12 hours and her paycheck, before taxes and deductions. was $149.5t]. Cathy's boss had told her what her hourly and overtime rates were, but Cathy was so excited to get the job that she couldn't remember what she was told. a} Write a system of equations for Cathy's hourly and overtime pay rates. Clearly define the variables and their meanings. {Tl} 1'2 b} Solve the system of equations using substitution. Show your work and explain the steps you used to solve the system of equations. Show the check of your soiution. {AP} c) Write a sentence explaining Cathy's pay rate. (CM)