Solve the system: \left\{\begin{aligned} x^{2}-2 y^{2} &=-1 \\ 2 x^{2}-y^{2} &=1 \end{aligned}\right. (Section $5.4,$ Example 3 )

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Solve the system: \left\{\begin{aligned} x^{2}-2 y^{2} &=-1 \\ 2 x^{2}-y^{2} &=1 \end{aligned}\right. (Section $5.4,$ Example 3 )

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