1965 AHSME Problems/Problem 13

Problem

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:

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

Solution

$\fbox{E}$

1965 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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1965 AHSME Problems/Problem 13

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