Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 25 \\x & = y ^ { 2 } - 5\end{aligned} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 25 \\x & = y ^ { 2 } - 5\end{aligned} \right.$

A) $\varnothing$
B) $( - 5,0 ) , ( 4,9 ) , ( 4 , - 9 )$
C) $( 4,3 ) , ( 4 , - 3 )$
D) $( - 5,0 ) , ( 4,3 ) , ( 4 , - 3 )$