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UKMT Intermediate Mathematical Challenge, 2019

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Two numbers $x$ and $y$ have a product which is equal to their sum. Which of these expressions gives $x$ in terms of $y$ ?

(A) $\dfrac{y}{y-1}$ (B) $\dfrac{y}{y+1}$ (C) $\dfrac{y+1}{y}$ (D) $\dfrac{y-1}{y}$ (E) $\dfrac{y^2}{y+1}$

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