Question

If ax= b, by= c, and cz= a, then prove that xyz = 1. Here a, b and c are real numbers and x, y, and z are rational numbers.

Answer 1

ax = b.....(i)

by = c.....(ii)

cz = a.....(iii)

xyz = [(ax)(by)(cz)]/abc

= [abc]/abc [From (i), (ii), (iii)]

= 1.

Hence...proved.