1/x+y+z=1/x+1/y+1/z find value of x
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y+ 1/z = 1 so y= 1- 1/z
x+ 1/y = 1 so x= 1- 1/y = 1- 1/(1-1/z)
so xyz = [ 1- 1/( 1-1/z) ] * [ 1- 1/z] *z
= [ 1- z/( z-1) ] * (z- 1) /z * z
=( z- 1- z)/z-1 *(z-1 )
= -1 answer
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Hope it helps. The given attachment shall be sufficient.
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