Solve the System by the Method of Elimination $$\left\{ \begin{array} { r } 2 x ^ { 2 } + 9 y ^ { 2 } = 24 \\x ^ { 2 } + 5 y ^ { 2 } = 13\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { r } 2 x ^ { 2 } + 9 y ^ { 2 } = 24 \\x ^ { 2 } + 5 y ^ { 2 } = 13\end{array} \right.$$

A) ( $\sqrt { 3 }$ , $\sqrt { 2 }$ ) , ( $\sqrt { 3 }$ , $\sqrt { 2 }$ ) , ( $\sqrt { 3 }$ , $\sqrt { 2 }$ ) , ( $\sqrt { 3 }$ , $\sqrt { 2 }$ )
B) ( $\sqrt { 11 }$ , 1) , ( $\sqrt { 11 }$ , 1) , ( $\sqrt { 11 }$ , 1) , ( $\sqrt { 11 }$ , 1) ,
C) ( $\sqrt { 237 }$ , $5 \sqrt { 2 }$ ) , ( $\sqrt { 237 }$ , $5 \sqrt { 2 }$ ) , ( $\sqrt { 237 }$ , $5 \sqrt { 2 }$ ) , ( $\sqrt { 237 }$ , $5 \sqrt { 2 }$ ) ,
D) ( $\sqrt { 13 }$ , 0) , ( $\sqrt { 13 }$ ,0)
E) no solution exists