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

Mrs. Strickland is a dance teacher whose students are going to have a recital. She is comparing two companies' prices for filming the recital and producing DVDs. Reggie's Productions charges $9 per DVD, plus $53 to come and film the recital. Morristown Media charges $59 to film, plus $7 per DVD. To decide which company to use, Mrs. Strickland determines the number of DVDs that would make the two options equivalent in terms of cost. How many DVDs would that be? How much would each option cost?

If Mrs. Strickland ordered

DVDs, the cost would be $