Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13 \\x + y = 5\end{array} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13 \\x + y = 5\end{array} \right.$

A) $( 3 , - 2 ) , ( 2 , - 3 )$
B) $( - 3 , - 2 ) , ( - 2 , - 3 )$
C) $( 3,2 ) , ( 2,3 )$
D) $( - 3,2 ) , ( - 2,3 )$