Question

please answer this question​

Answer 1

Answer:

$x - 16y = 0 \: \: \: \: \: \: ....(i) \\ \\ \\ \\ \\ x + y = 1 \: \: ....(ii) \\ \\ \\ \\ y = \frac{1}{17} \\ \\ x = \frac{16}{17} .$

Step-by-step explanation:

$\sqrt{ \frac{x}{y} } = 4 \\ \\ squaring \: both \: sides \\ \\ \frac{x}{y} = 16 \\ \\ x - 16y = 0 \: \: \: \: \: \: ....(i) \\ \\ \frac{1}{x} + \frac{1}{y} = \frac{1}{xy} \\ \frac{x + y}{xy} = \frac{1}{xy} \\ \\ x + y = 1 \: \: ....(ii) \\ \\ solving \: these \: we \: get \\ \\ 17y = 1 \\ \\ y = \frac{1}{17} \\ \\ x = \frac{16}{17} .$

Answer 2

Answer:

$\sqrt{ \frac{x}{y} } = 4$

Step-by-step explanation:

x/y = 16

1/x+1/y =1/xy

(x+y)/xy=1/xy

x+y =1

x = 16y

17y = 1

y =1/17

x= 16/17