Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 9 x ^ { 2 } - y ^ { 2 } = - 5 \\x ^ { 2 } + 9 y ^ { 2 } = 45\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 9 x ^ { 2 } - y ^ { 2 } = - 5 \\x ^ { 2 } + 9 y ^ { 2 } = 45\end{array} \right.$$

A) $( 0 , \sqrt { 5 } ) , ( 0 , - \sqrt { 5 } ) , ( - 1 , \sqrt { 5 } ) , ( - 1 , - \sqrt { 5 } )$
B) $( 0 , \sqrt { 3 } ) , ( - 1 , - \sqrt { 3 } )$
C) $( 0 , \sqrt { 5 } ) , ( 0 , - \sqrt { 5 } )$
D) $( 0 , \sqrt { 3 } ) , ( 0 , - \sqrt { 3 } )$
E) no solution exists