Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 5 \\x ^ { 2 } - y ^ { 2 } = 3\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 5 \\x ^ { 2 } - y ^ { 2 } = 3\end{array} \right.$$

A) $( 4,1 ) , ( - 4,1 )$
B) $( 2,1 ) , ( - 2,1 )$
C) $( 4 , - 1 ) , ( 4,1 ) , ( - 4 , - 1 ) , ( - 4,1 )$
D) $( 2 , - 1 ) , ( 2,1 ) , ( - 2 , - 1 ) , ( - 2,1 )$
E) no solution exists