Question

148/x+231/y=527/xy solve by simultaneous equations

Answer 1

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