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

Multiple Choice

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