1994 AHSME Problem 25

If x and y are non-zero real numbers such that |x|+y=3 \qquad \text{and} \qquad |x|y+x^3=0, then the integer nearest to x-y is

\textbf{(A)}\ -3 \qquad\textbf{(B)}\ -1 \qquad\textbf{(C)}\ 2 \qquad\textbf{(D)}\ 3 \qquad\textbf{(E)}\ 5

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