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Which Method Should Be Used to Solve the System? Explain x25y2=1004x2+7y2=81\begin{array} { l } x ^ { 2 } - 5 y ^ { 2 } = 100 \\- 4 x ^ { 2 } + 7 y ^ { 2 } = 81\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.
- x25y2=1004x2+7y2=81\begin{array} { l } x ^ { 2 } - 5 y ^ { 2 } = 100 \\- 4 x ^ { 2 } + 7 y ^ { 2 } = 81\end{array}

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