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