Question

If (5.678)*x=(0.5678)*y=10*z then 1/x-1/y-1/z=0

Answer 1

let,
(5.678)*x=(0.5678)*y=10*z=k
then,
x = k/(5.678)
y= k/(0.5678)
z= k/10

now,
=1/x-1/y-1/z
=(5.678)/k-(0.5678)/k-10/k
= (5.678-0.5678-10)/k