Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

A) ( $\sqrt { 10 }$ , $\sqrt { 26 }$ ) , ( $\sqrt { 10 }$ , $\sqrt { 26 }$ ) , ( $\sqrt { 10 }$ , $\sqrt { 26 }$ ) , ( $\sqrt { 10 }$ , $\sqrt { 26 }$ )
B) ( $\sqrt { 13 }$ , $\sqrt { 5 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 5 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 5 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 5 }$ )
C) ( $\sqrt { 26 }$ , $\sqrt { 10 }$ ) , ( $\sqrt { 26 }$ , $\sqrt { 10 }$ ) , ( $\sqrt { 26 }$ , $\sqrt { 10 }$ ) , ( $\sqrt { 26 }$ , $\sqrt { 10 }$ )
D) ( $\sqrt { 5 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 5 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 5 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 5 }$ , $\sqrt { 13 }$ )
E) no solution exists