Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 8 x ^ { 2 } - 2 y ^ { 2 } = - 42 \\2 x ^ { 2 } + 4 y ^ { 2 } = 102\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 8 x ^ { 2 } - 2 y ^ { 2 } = - 42 \\2 x ^ { 2 } + 4 y ^ { 2 } = 102\end{array} \right.$$

A) $( 1,5 ) , ( 1 , - 5 )$
B) $( 1,5 ) , ( - 1 , - 5 )$
C) $( - 1,5 ) , ( - 1 , - 5 )$
D) $( 1,5 ) , ( 1 , - 5 ) , ( - 1,5 ) , ( - 1 , - 5 )$
E) no solution exists