Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x y = 0 \\x + y = - 9\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x y = 0 \\x + y = - 9\end{array}$$

A) $( - 9,0 ) , ( 0 , - 9 )$
B) $( 9,0 ) , ( 0,9 )$
C) $( 9,0 ) , ( 0 , - 9 )$
D) $( - 9,0 ) , ( 0,9 )$