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AHSME 1974 Problem 1

    If x≠0x\not=0 or 44 and y≠0y\not=0 or 66, then 2x+3y=12\frac{2}{x}+\frac{3}{y}=\frac{1}{2} is equivalent to (A) 4x+3y=xy(B) y=4x6−y(C) x2+y3=2\mathrm{(A)\ } 4x+3y=xy \mathrm{(B) \ }y=\frac{4x}{6-y} \mathrm{(C) \ } \frac{x}{2}+\frac{y}{3}=2 (D) 4yy−6=x(E) none of these\mathrm{(D) \ } \frac{4y}{y-6}=x \mathrm{(E) \ }\text{none of these}

    Dataset text NuminaMath-1.5. Quoted with source.

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