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UKMT Intermediate Mathematical Challenge, 2019

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Two numbers $x$ and $y$ are such that $x + y = \dfrac{2}{3}$ and $\dfrac{x}{y} = \dfrac{2}{3}$ . What is the value of $x - y$ ?

(A) $-\dfrac{2}{3}$ (B) $-\dfrac{2}{15}$ (C) $\dfrac{2}{25}$ (D) $\dfrac{2}{5}$ (E) $\dfrac{2}{3}$

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