Question

2/√x+3/√y=2, 4/√x-9/√y=-1 solve the equation

Answer 1

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Answer 2

The given equations have √x and √y as the variables which need to be found.

I took the terms of 1/√x and 1/√y as a and b respectively.

On doing this the equatios become

2a+3b = 4 and 4a- 3b = -1

Now marking them as equation 1 and 2 respectively we substitute the value of a from equation 1 into equation 2 we find the values of a and b as 1/2 and 1/3 respectively.

On equating the values of a with 1/x and b with 1/y respectively we get the values of x and y as

x = √2 and y =√3.

Please refer to given solution in the figure.

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