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21/x +47/y=110
47/x+21/y=162
let 1/x be p and 1/x=q
21p+47q=110 (1)
47p+21q=162 (2)
(2)-(1)
⇒26p-26q=52
⇒p-q=2 (3)
(2)+(1)
⇒68p+68q=272
⇒p+q=4
adding 3 and 4
⇒2p=6 ⇒p=3
(4)-(3)
⇒ 2q=2 ⇒q=1
1/x=p=3 1/y=q=1
x=1/3 y=1
Step-by-step explanation:
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