1965 AHSME Problem 13

Let n be the number of number-pairs (x,y) which satisfy 5y - 3x = 15 and x^2 + y^2 \le 16. Then n is:

\textbf{(A)}\ 0 \qquad \textbf{(B) }\ 1 \qquad \textbf{(C) }\ 2 \qquad \textbf{(D) }\ \text{more than two, but finite}\qquad \textbf{(E) }\ \text{greater than any finite number}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.