Mathematics
If ax = b, by = c and cz = a, prove that :
xyz = 1.
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Answer
Given,
⇒ a = cz …….(1)
⇒ c = by …….(2)
⇒ b = ax ……..(3)
Substituting value of c from equation (2) in (1), we get :
⇒ a = (by)z
⇒ a = byz
Substituting value of b from equation (3) in above equation, we get :
⇒ a = (ax)yz
⇒ a = axyz
⇒ xyz = 1.
Hence, proved that xyz = 1.
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