Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 9 x ^ { 2 } - y ^ { 2 } = - 5 \\x ^ { 2 } + 9 y ^ { 2 } = 45\end{array} \right.$$

question 40

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 9 x ^ { 2 } - y ^ { 2 } = - 5 \\x ^ { 2 } + 9 y ^ { 2 } = 45\end{array} \right.$$

• A) \(( 0 , \sqrt { 5 } ) , ( 0 , - \sqrt { 5 } ) , ( - 1 , \sqrt { 5 } ) , ( - 1 , - \sqrt { 5 } )\)
• B) \(( 0 , \sqrt { 3 } ) , ( - 1 , - \sqrt { 3 } )\)
• C) \(( 0 , \sqrt { 5 } ) , ( 0 , - \sqrt { 5 } )\)
• D) \(( 0 , \sqrt { 3 } ) , ( 0 , - \sqrt { 3 } )\)
• E)no solution exists

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