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

question 14

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

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