Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + 2 y = 1 \\x ^ { 2 } + y ^ { 2 } = 25\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } x ^ { 2 } + 2 y = 1 \\x ^ { 2 } + y ^ { 2 } = 25\end{array} \right.$$

A) ( $3$ , 4) , ( $3$ , 4)
B) ( $3$ ,6) , ( $3$ , 6)
C) ( $3$ , 4) , ( $3$ , 4)
D) ( $3$ , 6) , ( $3$ , 6)
E) no solution exists