Question

find 2/√x+3/√y=2. 4/√x-9/√y=-1

Answer 1

$\frac{1}{ \sqrt{x} } = a \: \: \: \: and \: \: \: \: \: \frac{1}{ \sqrt{y} } = b \\ 2a + 3b= 2 \: \: or \: \: 6a + 9b = 6 \\ 4a - 9b = - 1 \\ a = \frac{1}{2} \: \: \: \: \: and \: \: \: \: \: \: \: b = \frac{1}{3} \\ \sqrt{x} = 2 \: \: \: \: and \: \: \: \: \sqrt{y} = 3 \\ x = 4 \\ y = 9$