Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array}$$

A) $( - 12,5 ) , ( - 5,12 )$
B) $( 12 , - 5 ) , ( 5 , - 12 )$
C) $( - 12 , - 5 ) , ( - 5 , - 12 )$
D) $( 12,5 ) , ( 5,12 )$