\frac { 2 } { x } - \frac { 3 } { y } = 15 ; \frac { 8 } { x } + \frac

1.	\frac { 2 } { x } - \frac { 3 } { y } = 15 ; \frac { 8 } { x } + \frac { 5 } { y } = 77
Answer» 2/x - 3/y = 158/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 = 608p + 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 AND, q = 1/y = 1∴ [ q = 1/y ] ⇒y = 1 , x = 1/9

\frac { 2 } { x } - \frac { 3 } { y } = 15 ; \frac { 8 } { x } + \frac { 5 } { y } = 77

Answer»

2/x - 3/y = 158/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 = 608p + 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

AND,

q = 1/y = 1∴ [ q = 1/y ]

⇒y = 1 , x = 1/9