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 $25 ^ { x } = 5 ^ { 2 x } = \left( 5 ^ { x } \right) ^ { 2 }$ .

Question

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 $25 ^ { x } = 5 ^ { 2 x } = \left( 5 ^ { x } \right) ^ { 2 }$ .

Quizplus · Accepted Answer

The Answer of 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 $25 ^ { x } = 5 ^ { 2 x } = \left( 5 ^ { x } \right) ^ { 2 }$ .

Find All Solutions for the System {5x+5y=1025x−25y=75\left\{ \begin{array} { l } 5 ^ { x } + 5 ^ {y } = 10 \\25 ^ { x } - 25^ {y } = 75\end{array} \right.{5x+5y=1025x−25y=75​

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