Giuseppi's Pizza had orders for $490.00 of pizzas. The prices were $17 for a large pizza, $13 for a medium pizza, and $7 for a small pizza. The number of large pizzas was two less than three times the number of medium pizzas. The number of small pizzas was two more than three times the number of medium pizzas. How many of each size of pizza were ordered?

The number of medium size pizzas is _____.

The number of large pizzas is ____.

The number of small pizzas is _____.

Please explain step by step and how you got to each step.