Solve the Following System of Quadratic Equations Algebraically by the Method

question 72

Multiple Choice

Solve the following system of quadratic equations algebraically by the method of substitution.
$$\left\{ \begin{array} { l } 8 x ^ { 2 } - 6 y ^ { 2 } + 80 = 0 \\8 x + 4 y = 0\end{array} \right.$$

• A) \(( \sqrt { 5 } , - 2 \sqrt { 5 } ) , ( \sqrt { 7 } , - 2 \sqrt { 7 } )\)
• B) \(( - \sqrt { 7 } , 2 \sqrt { 7 } ) , ( \sqrt { 7 } , - 2 \sqrt { 7 } )\)
• C) \(( - \sqrt { 7 } , - 2 \sqrt { 7 } ) , ( \sqrt { 7 } , - 2 \sqrt { 7 } )\)
• D) \(( - \sqrt { 5 } , - 2 \sqrt { 5 } ) , ( \sqrt { 5 } , 2 \sqrt { 5 } )\)
• E) \(( - \sqrt { 5 } , 2 \sqrt { 5 } ) , ( \sqrt { 5 } , - 2 \sqrt { 5 } )\)

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Definitions:

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