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$\large \begin{cases} 2x^2 + 2y^2 = 5xy \\ \dfrac{x-y}{x+y} = \dfrac{a}{b} \end{cases}$

Real numbers $x$, $y$, $a$, and $b$, where $a$ and $b$ are positive coprime integers, satisfy the system of equations above. Find $a \times b - a + b \div a$.

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