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Solve Problems Using Systems of Nonlinear Equations
-A System for Tracking

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Solve Problems Using Systems of Nonlinear Equations
-A system for tracking ships indicated that a ship lies on a hyperbolic path described by 6x2y2=186 \mathrm { x } ^ { 2 } - \mathrm { y } ^ { 2 } = 18 . The process is repeated and the ship is found to lie on a hyperbolic path described by y23x2=9y ^ { 2 } - 3 x ^ { 2 } = 9 . If it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.


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