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Пошаговое объяснение:

$\left \{ {3\sqrt{x} -\sqrt{y}=9 } \atop {\sqrt{x} =10-2\sqrt{y} }} \right. =3(10-2\sqrt{y} )-\sqrt{y} =9=y=9=\sqrt{x} =10-2\sqrt{9} =x=16=(x,y)=(16,9)=\left \{ {3\sqrt{16 }-\sqrt{9}=9 } \atop {\sqrt{16}+2\sqrt{9} =10 }} \right. =\left \{ {{9=9} \atop {10=10}} \right. = (x,y)=(16,9)$

2. .............................................................................................................................................................................................................................................................................................

Ответ:

1. (x,y)=(16,9)

2. $(x_{1} ,y_{1} )=(25,9)\\(x_{2} ,y_{2} )=(9,25)$