Solve the System of Equations Using Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 61 \\x ^ { 2 } - y ^ { 2 } = 11\end{array} \right.$$

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 61 \\x ^ { 2 } - y ^ { 2 } = 11\end{array} \right.$$

A) $x = - 6 , y = - 5 ; x = - 5 , y = - 6$
B) $x = 6 , y = 5 ; x = - 6 , y = 5 ; x = 6 , y = - 5 ; x = - 6 , y = - 5$
C) $x = 6 , y = - 5 ; x = 6 , y = 5$
D) $x = 6 , y = 5 ; x = 5 , y = 6 ; x = - 6 , y = - 5 ; x = - 5 , y = - 6$

Correct Answer:

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