sqrtx + sqrty=4 x+y-3sqrtxy=1

x + y = 4
x + y - 3(xy) = 1

x + y + 2(xy) = 16
x + y - 3(xy) = 1

5(xy) = 15

(xy) = 3

xy = 9

x + y = 4
x = 3/y

3/y + y = 4

y - 4y + 3 = 0
D = 16 - 12 = 4
y = (4 - 2)/2 = 1 =gt; x = 3/1 = 3
y = 1; x = 9
y = (4 + 2)/2 = 3 =gt; x = 3/3 = 1
y = 9; x = 1

Ответ: (1; 9) и (9; 1)