Question

If ax = b,by = c,cz = a, then find value of xyz​

Answer 1

$ax = b \\ \implies x = \frac{b}{a}$

$by = c \\ \implies \: y = \frac{c}{b}$

$cz = a \\ \implies z = \frac{a}{c}$

$xyz = \frac{b}{a} \times \frac{c}{b} \times \frac{a}{c} \\ \\ xyz = \frac{ abc}{abc} \\ \\ xyz \: = 1$