Solve the System of Equations $$\begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 103 \\4 x ^ { 2 } - y ^ { 2 } = 4\end{array}$$

Multiple Choice

Solve the system of equations.
- $$\begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 103 \\4 x ^ { 2 } - y ^ { 2 } = 4\end{array}$$

A) $\{ ( \sqrt { 7 } , 2 \sqrt { 6 } ) , ( - \sqrt { 7 } , 2 \sqrt { 6 } ) , ( \sqrt { 7 } , - 2 \sqrt { 6 } ) , ( - \sqrt { 7 } , - 2 \sqrt { 6 } ) \}$
B) $\{ ( 7,24 ) , ( - 7,24 ) , ( 7 , - 24 ) , ( - 7 , - 24 ) \}$
C) $\{ ( 2 \sqrt { 6 } , \sqrt { 7 } ) , ( 2 \sqrt { 6 } , - \sqrt { 7 } ) , ( - 2 \sqrt { 6 } , \sqrt { 7 } ) , ( - 2 \sqrt { 6 } , - \sqrt { 7 } ) \}$
D) $\{ ( 24,7 ) , ( - 24,7 ) , ( 24 , - 7 ) , ( - 24 , - 7 ) \}$