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

question 65

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

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