Question

Solve the equations by reducing 2/ root x + 3/ root y =2 and 4/root x - 9/ root y =-1

Answer 1

Answer:

x = 4

y = 9

Step-by-step explanation:

Let 1/√x = a , 1/√y = b

2a+3b=2..(1)

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

(2)-2(1)

-15b = -5

b = 1/3

Sub b value in (1)

2a+3(1/3) = 2

2a+1 = 2

2a = 1

a = 1/2

1/√x = a

1/√x = 1/2

√x = 2

x=4

1/√y = b

1/√y = 1/3

√y = 3

y = 9

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