1987 AHSME Problems/Problem 11

Problem

Let $c$ be a constant. The simultaneous equations

\begin{align*}x-y = &\ 2 \\cx+y = &\ 3 \\\end{align} (Error compiling LaTeX. Unknown error_msg)

have a solution $(x, y)$ inside Quadrant I if and only if

$\textbf{(A)}\ c=-1 \qquad \textbf{(B)}\ c>-1 \qquad \textbf{(C)}\ c<\frac{3}{2} \qquad \textbf{(D)}\ 0<c<\frac{3}{2}\\ \qquad \textbf{(E)}\ -1<c<\frac{3}{2}$

1987 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 10	Followed by Problem 12
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1987 AHSME Problems/Problem 11

Problem

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