A local theater sells tickets for a play. An adult ticket costs $x$ dollars, and a child ticket costs $y$ dollars. For the first show, 4 adult tickets and 3 child tickets were sold for a total of $115. For the second show, 2 adult tickets and 5 child tickets were sold for a total of $105. Which system of equations can be used to correctly determine the values of $x$ and $y$?