Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } - 3 y ^ { 2 } = 1 \\2 x ^ { 2 } + 3 y ^ { 2 } = 47\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } - 3 y ^ { 2 } = 1 \\2 x ^ { 2 } + 3 y ^ { 2 } = 47\end{array}$$

A) $( 4,5 ) , ( - 4 , - 5 )$
B) $( 5,4 ) , ( - 5 , - 4 )$
C) $( 4,5 ) , ( - 4,5 ) , ( 4 , - 5 ) , ( - 4 , - 5 )$
D) $( 5,4 ) , ( - 5,4 ) , ( 5 , - 4 ) , ( - 5 , - 4 )$