$\"\"$

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The system of equations $\"\"$ .

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A graph of the system indicates that the circle and hyperbola intercept in four points.

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The system has four solutions and solve elimination method.

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Add first and second equations.

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$\"\"$ $\"\"$

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Divide each side by 14.

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$\"\"$

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$\"\"$

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Apply square roots on each side and eliminate square.

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$\"\"$

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$\"\"$

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$\"\"$

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Find the value of y, and substitute $\"\"$ .

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$\"\"$

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Subtract 5 from each side.

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$\"\"$

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$\"\"$

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Apply square roots on each side and eliminate square.

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$\"\"$

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$\"\"$

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$\"\"$

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Find the value of y, and substitute $\"\"$ .

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$\"\"$

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Subtract 5 from each side.

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$\"\"$

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$\"\"$

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Apply square roots on each side and eliminate square.

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$\"\"$

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$\"\"$

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$\"\"$

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The solutions are $\"\"$ .