Question

if 5/x + 3/y = 4 and 3/x+5/y = 4, then 1/x-1/y =..... and 1/x+1/y = ......

Answer 1

−

y

5

=6 -------- (2)

Multiply equation (1) by (3) & (4) by (5) then subtract

−

y

9

=30

−

y

25

=30

- (+) -

______________________

y

16

=0⇒[

y

1

=0]

Now from equation (1)

x

5

=10+

y

3

=10

[

x

1

=2]

now

x

1

+

y

1

=2+0=2

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