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Solve the system {(x^5+y^5=1),(x^6+y^6=1...

Solve the system `{(x^5+y^5=1),(x^6+y^6=1.))`

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Solve the system of equations (2)/(x)+(3)/(y)+(10)/(z)=4(4)/(x)-(6)/(y)+(5)/(z)=1(6)/(x)+(9)/(y)-(20)/(z)=2

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