2/x-3/y=15;8/x+5/y=77
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Answer:
2/x - 3/y = 15
8/x + 5/y = 77
∴ [ let 1/x = p & 1/y = q ]
Now,
2p - 3q = 15------------(1)
8p + 5q = 77-----------(2)
FROM-----(1) & -------(2)
Multiply by (4) in ----(1)
we get,
8p - 12q = 60
8p + 5q = 77
(-)___(-)___(-)
---------------------
-17q = - 17
⇒q = 1 put in --(1)
we get,
2p - 3(1) = 15
⇒2p = 15 + 3
⇒ 2p = 18
⇒p = 9
⇒1/x = 9
∴ [ 1/x = p ]
⇒x = 1/9
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