148/x+231/y=527/xy;231/x+148/y=610/xy
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Answer:
x=1
Explanation:
given,
148/x + 231 /y = 527/xy
231/x + 148/y = 610/xy
multiply both eqn with 'xy' , we get
148y + 231x = 527 -------------------( 1 )
231y + 148x = 610 ------------------ ( 2 )
multiply (1 ) by 148 and ( 2 ) by 231 , we get
34188x + 21904y = 77996 -------------( 3 )
34188x + 53361y = 140910 ------------( 4 )
subtracting ( 3 ) from ( 4 ) , we get
53361y _ 21904y = 140910 _ 77996
31457y = 62914
y = 2
put ' y = 2 ' in ( 1 )
231 x + 148 (2) = 527
231 x = 527 _ 296
231 x = 231
x = 1
hence proved
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