Решите систему [latex] \left \{ {{x-y=5} \atop { \sqrt{x}- \sqrt{y}=1}} \right. [/latex]

[latex]x-y=5 =\ \textgreater \ x=5+y\\ \\\sqrt{5+y}- \sqrt{y} =1;\\ \\5+y+y-2 \sqrt{y(5+y)} =1;\\ \\4+2y=2 \sqrt{y(5+y)};\\ \\y+2= \sqrt{y(5+y)} ;\\ \\y^{2}+4y+4=5y+y^{2} ;\\ \\y=4; x=5+4=9[/latex] Ответ: х=9, у=4