Question

solve for linear equations
2/√x+3/√y=2
4/√x-9/√y=-1
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Answer 1

Answer: x = 4/49, y = 9/25.

Explanation:

Let 1/√x = a, and 1/√y = b.

Therefore, we have:

1. 2a + 3b = 2 => 4a + 6b = 4 (1)
2. 4a + 9b = - 1 (2).

Subtracting (2) from (1):

(4a + 6b) - (4a + 9b) = 4 + 1

=> - 3b = 5

=> b = - 5/3.

Therefore, a = 7/2. (By putting the value of b.)

Now, finding values of required variables:

1/√x = a

=> √x = 1/a

=> x = 4/49

& 1/√y = b

=> y = 9/25.