Find All Solutions for the System $\left\{ \begin{array} { l } 5 ^ { x } + 5 ^ {y } = 10 \\25 ^ { x } - 25^ {y } = 75\end{array} \right.$

question 36

Essay

Find all solutions for the system. $\left\{ \begin{array} { l } 5 ^ { x } + 5 ^ {y } = 10 \\25 ^ { x } - 25^ {y } = 75\end{array} \right.$ Note that $25 ^ { x } = 5 ^ { 2 x } = \left( 5 ^ { x } \right) ^ { 2 }$ .

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