Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { r } x ^ { 2 } + y ^ { 2 } = 65 \\4 x + 7 y = 0\end{array} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { r } x ^ { 2 } + y ^ { 2 } = 65 \\4 x + 7 y = 0\end{array} \right.$

A) $( 7 , - 4 )$
B) $( 7 , - 4 ) , ( - 7 , - 4 )$
C) $( 7 , - 4 ) , ( - 7,4 )$
D) $( 7,4 ) , ( - 7 , - 4 )$