Solve the system x/(sqrt(x) + sqrt(y)) = 18 and y/(sqrt(x) + sqrt(y)) = 2.
x/(sqrt(x) + sqrt(y)) = 18 and y/(sqrt(x) + sqrt(y)) = 2.
x = 18 *(sqrt x sqrt y) y = 2(sqrtx+ sqrty) Multiply 2nd equation by -9 then add both equations...
-9y = -18 (sqrtx+ sqrty)
x-9y = 0 x = 9y
y = 2 (sqrt(9y) + sqrty)
y=2 sqrty (sqrt 9+1)
y = 8 sqrty
y^2 = 64 y
y= 64
x = 9y = 576