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Which Method Should Be Used to Solve the System? Explain 8x2y2=165x2+7y2=64\begin{array} { r } - 8 x ^ { 2 } - y ^ { 2 } = 16 \\- 5 x ^ { 2 } + 7 y ^ { 2 } = 64\end{array}

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Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- 8x2y2=165x2+7y2=64\begin{array} { r } - 8 x ^ { 2 } - y ^ { 2 } = 16 \\- 5 x ^ { 2 } + 7 y ^ { 2 } = 64\end{array}


Definitions:

Dual-Process Approach

A theoretical model that suggests there are two distinct systems in the brain for processing information: one that is intuitive and automatic, and another that is deliberate and reasoning-based.

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Reflective Process

A cognitive mechanism by which individuals examine and analyze their own thoughts, feelings, and behaviors.

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