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Question
If ax = b, by = c and cz = a, prove that : xyz = 1.
Solution
We are given that
ax = b, by = c and cz = a
Consider the equation
ax = b
⇒ axyz = byz [ raising to the power yz on both sides ]
⇒ axyz = (by)z
⇒ axyz = cz [ ∵ by = c ]
⇒ axyz = cz
⇒ axyz = a [ ∵ cz = a ]
⇒ axyz = a1
⇒ xyz = 1
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