Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 3 x ^ { 2 } + 4 y ^ { 2 } = 59 \\2 x ^ { 2 } + 5 y ^ { 2 } = 72\end{array} \right.$$

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 3 x ^ { 2 } + 4 y ^ { 2 } = 59 \\2 x ^ { 2 } + 5 y ^ { 2 } = 72\end{array} \right.$$

A) ( $\sqrt { 13 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 13 }$ ) , ( $\sqrt { 13 }$ , $\sqrt { 13 }$ )
B) $\left( 0 , \frac { \sqrt { 257 } } { 5 } \right) , \left( 0 , - \frac { \sqrt { 257 } } { 5 } \right)$
C) $( 3,2 ) , ( 3 , - 2 ) , ( - 3,2 ) , ( - 3 , - 2 )$
D) (1, $\sqrt { 14 }$ ) ,(1, $\sqrt { 14 }$ ) ,( 1, $\sqrt { 14 }$ ) ,( 1, $\sqrt { 14 }$ )
E) no solution exists