ACT Problem 28

$$\begin{array}{lcl} 28.\:When\:x\:is\:divided\:by\:5,the\:remainder\:is\:3.\:When\\ y\:is\:divided\:by\:6\:the\:remainder\:is\:2.\:Which\:of\:the\\ following\:could\:have\:a\:remainder\:of\:1\:when\:divided\\ by\:-3\:?\\ \\ (A):x\cdot y\\ \\ (B):x-y\\ \\ (C):x+y\\ \\ (D):\frac{2x}{y}\\ \\ (E):y-x\\ \end{array}$$