Question

if
$ax = b \: by = c \: cz = a \: then \: x \: y \: zis$
​

Answer 1

$given \\ax = b \\ x = \frac{b}{a} \\ by = c \\ y = \frac{c}{b} \\ cz = a \\ z = \frac{a}{c} \\ \: xyz = \frac{b \times c \times a}{a \times b \times c} = x \\ so \\ xyz = 1$

Answer 2

Answer: 1

Step by step explanation:

We need to find the values of x, y and z.

ax =b, by =c, cz =a

From ax = b, we get x = b/a .. (i)

From by = c, we get y  =c/b .. (ii)

From cz = a, we get z = c/a .. (iii)

Multiplying the left hand sides and right hand sides in eq. (i), (ii) and (iii), we get

xyz=(b/a) × (c/b) × (c/a)

xyz = 1

Thus, the value of xyz is 1.