148/x+231/y=527/xy ; 231/x+148/y=610/xy Solve the simultaneous equation
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81
148/x + 231/y = 527/xy
(148y + 231x)/xy = 527/xy
148y + 231x = 527-----------( 1 )
231/x + 148/y = 610/xy
(231y + 148x)/xy = 610/xy
231y + 148x = 610------------( 2 )
adding---------( 1 ) & -----------( 2 )
231x + 148y = 527
148x + 231y = 610
---------------------------
379x + 379y = 1137
x + y = 3-----------( 3 )
subtracting-------( 1 ) &-----( 2 )
231x + 148y = 527
148x + 231y = 610
--------------------------
83x - 83y = -83
x - y = -1------------( 4 )
From-------( 3 )&-------( 4 )
x + y = 3
x - y = -1
------------
2x = 2
x = 1 [ put in -----( 3 )]
1 + y = 3
y = 2
(148y + 231x)/xy = 527/xy
148y + 231x = 527-----------( 1 )
231/x + 148/y = 610/xy
(231y + 148x)/xy = 610/xy
231y + 148x = 610------------( 2 )
adding---------( 1 ) & -----------( 2 )
231x + 148y = 527
148x + 231y = 610
---------------------------
379x + 379y = 1137
x + y = 3-----------( 3 )
subtracting-------( 1 ) &-----( 2 )
231x + 148y = 527
148x + 231y = 610
--------------------------
83x - 83y = -83
x - y = -1------------( 4 )
From-------( 3 )&-------( 4 )
x + y = 3
x - y = -1
------------
2x = 2
x = 1 [ put in -----( 3 )]
1 + y = 3
y = 2
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