1.

Solve the following simultaneous equations!m2 16 . 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

2/(1/9) - 3(1) = 15

⇒18 - 3 = 15

⇒15 = 15

And,

8/(1/9) + 5(1) = 77

⇒72 + 5 = 77

⇒77 = 77

2/x - 3/y = 15; 8/x + 5/y =77; 1/x = k, 1/y = a;; 2a - 3k =15; 8a +5k = 77; 8( 2a - 3k = 15)= 16a-24k = 120 2(8a+5k =77)= 16a +10k=154 _ _______________ 24k+10k /34; k = 34/34 =1; ; 2a -3k =15, 2a -3(1)=15; 2a = 15 +3=18; a = 18/2=9; a=1/x=9; k= 1/y =1;



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