Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \\x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \\x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0\end{array}$$

A) $( 2 , - 1 ) , ( 2 , - 3 )$
B) $( 2,1 ) , ( 2,3 )$
C) $( 3 , - 2 ) , ( 1 , - 2 )$
D) $( 3 , - 2 ) , ( - 1 , - 2 )$