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The operation $\star$ is defined on ordered pairs as $ \star (a, b) = (a + 3b, 9a - 5b).$ If $x$ and $y$ are nonzero real numbers such that $\star (x, y) = (-8x, -8y),$ what is the value of the ratio $x : y?$ Express your answer as a common fraction.

 May 13, 2020

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