Question

2/√x + 3/√y = 2
4/√x - 9/√y = -1
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Answer 1

Given

• Two Equations

1. 2/√x + 3/√y = 2
2. 4/√x - 9/√y = -1

To find

Value of X and y

solution

Let 1/√x = a

1/√y = b

Now new Equation will be

2a+3b=2 _____(1)

4a-9b= -1 ________(2)

Now multiply by 2 in Equation (1)

4a+6b=4_______(3)

Solving by elimination method

4a-9b= -1

4a+6b=4

________

-3b=3

b=1

putting the value b =1 in Equation (1)

2a+3=2

2a=-1

a=-1/2

Now putting the value in these 1/√x = a

1/√y = b to get actual answer

X=1

√y=-2

y=√-2(this is not possible)

so,for y we have to put iota in it..

Answer 2

$Hey!\: Mate -$

$\frac{2}{√x} + \frac{3}{√y} = 2----(1)$

$\frac{4}{√x} - \frac{9}{√y} = -1----(2)$

$On \: multiplying \: eq.(1) \: by \: 2$

$\frac{4}{√x} + \frac{6}{√y} = 4-----(3)$

$From \: eq.(3) \: - \: eq.(2)$

$\frac{15}{√y} = 5$

$\frac{15}{5} = √y$

$√y = 3$

$y = 9$

$Now ,$

$\frac{2}{√x} + \frac{3}{3} = 2$

$\frac{2}{√x} + 1 = 2$

$\frac{2}{√x} = 1$

$√x = 2$

$x = 4$

$I \: Wish \: it'll \: be \: helpful \: for \: u.$