If x+\frac{5}{y}=4 and y+\frac{5}{x}=-4, then what is (x+y) equal to?
- A. 0 ✓
- B. 1
- C. 4
- D. 5
Correct Answer: A. 0
Explanation
x+5/y=4 \implies xy+5=4y. y+5/x=-4 \implies xy+5=-4x. Equating them gives 4y = -4x \implies x = -y \implies x+y=0.
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