Question

(15/(x-y)) + (22/(x+y) =5 & (40/(x-y)) + (55/(x+y)) = 13.
Find x and y.

Answer 1

Answer:

let 1/x-y = a and 1/x+y = b

so

15a + 22b = 5........(1)

40a + 55b = 13.....(2)

by multiplying (1) by 5 and (2) by 2 we get

75a + 110b = 25....(3)

80a + 110b = 26....(4)

by subtracting (3) by (4) we get

5a = 1

a = 1/5 ....... x-y = 5....(5)

b = 1/11 ....... x+y = 11...(6)

by adding (5) and (6) we get

2x = 16

x = 8

y = 3

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