Solve the System by the Substitution or Elimination Method $$\left( \begin{array} { r l l l } 5 y ^ { 2 } - 8 x ^ { 2 } & = & 31 \\8 x ^ { 2 } - 2 y ^ { 2 } & = & 2\end{array} \right)$$

question 35

Multiple Choice

Solve the system by the substitution or elimination method. $$\left( \begin{array} { r l l l } 5 y ^ { 2 } - 8 x ^ { 2 } & = & 31 \\8 x ^ { 2 } - 2 y ^ { 2 } & = & 2\end{array} \right)$$

• A) \(( \sqrt { 3 } , - \sqrt { 11 } ) , ( - \sqrt { 3 } , \sqrt { 11 } )\)
• B) \(( \sqrt { 11 } , \sqrt { 3 } ) , ( \sqrt { 11 } , - \sqrt { 3 } ) , ( - \sqrt { 11 } , \sqrt { 3 } ) , ( - \sqrt { 11 } , - \sqrt { 3 } )\)
• C) \(( \sqrt { 3 } , \sqrt { 11 } ) , ( \sqrt { 3 } , - \sqrt { 11 } ) , ( - \sqrt { 3 } , \sqrt { 11 } ) , ( - \sqrt { 3 } , - \sqrt { 11 } )\)
• D) \(( \sqrt { 3 } , \sqrt { 11 } ) , ( - \sqrt { 3 } , - \sqrt { 11 } )\)

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Definitions:

Brain Centers

Specific areas in the brain responsible for various functions, such as movement, sensory processing, or emotional regulation.

Withdrawal

The process or symptoms experienced when stopping or reducing the intake of a substance that has been used regularly.

Dependence-Producing Substance

A substance that leads to physical or psychological addiction, causing individuals to feel unable to function without it.

Frontal Lobes

The part of the brain located at the front of each cerebral hemisphere, associated with reasoning, planning, parts of speech, movement, emotions, and problem-solving.