At the afternoon matinee movie, 3 adult tickets and 5 child tickets cost $46, and 6 adult tickets and 3 child tickets cost $57. Which two equations can be used to determine the price of each ticket? Let x represent the cost of an adult ticket and y represent the cost of a child ticket.

A. 3x + 5y = 46
6x +y = 52
B. 3x + 6y = 46
5x + 5y = 57
C. 3x + 5y = 46
6x + 3y = 57
D. 3x + 6y = 63
5x + 3y = 40