Solve the Problem $( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$

Solve the problem.
-The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$ , $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$ . Determine the location of the epicenter.

A) at $( - 3,6 )$
B) at $( - 1,3 )$
C) at $( - 1,4 )$
D) at $( - 2,4 )$

Correct Answer:

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