1/x + 1/y = 8;; 4/x – 2/y = 2

(i) 1/x + 1/y = 8;; 4/x – 2/y = 2

Let 1/x = a and 1/y = b

∴ We get, a + b = 8 ......... eq. no. (1)
and 4a – 2b = 2 ........ eq. no. (2)

Multiplying (1) by 2, we get
2a + 2b = 16 ........ eq. no. (3)

Adding eq. (2) and eq. (3)

4a
-2b
=
2
2a
+2b
=
16




∴ 6a

=
18

∴ a = 18/6
∴ a = 3

Substituting a = 3 in eq. no. (1)
a + b = 8
∴ 3 + b = 8
∴ b = 8 – 3
∴ b = 5

Substituting the values of a and b,


a = 3
∴ 1/x = 3
∴ x = 1/3


b = 5
∴ 1/y = 5
∴ y = 1/5

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