X/3x-y-z =y/3y-z-x=z/3z-x-y and x+y+z=#0 ratio 1 show
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x / ( 3 x - y - z ) = y / ( 3 y - z - x ) = z / ( 3 z - x - y )
Each ratio is equal to :
( 3 x - y - z + 3 y - z - x + 3 z - x - y ) / ( x + y + z )
⇒ ( 3 x + 3 y + 3 z - 2 x - 2 z - 2 y ) / ( x + y + z )
⇒ ( x + y + z )/ ( x + y + z )
⇒ 1
Hence proved.
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