Question

x+(1/y)=1 , y-(1/Z)=1
then xyz is

Answer 1

Y = $1 + \frac{1}{Z}$ = $\frac{Z+1}{Z}$

X = $1 - \frac{1}{Y}$

X = $1 - \frac{1}{ \frac{Z+1}{Z} }$

X = $1 - \frac{Z}{Z+1}$

X = $\frac{Z+1-Z}{Z+1}$

X = $\frac{1}{Z+1}$

SUBSTITUTING IN XYZ
=$\frac{1}{Z+1}$ * $\frac{Z+1}{Z}$ * Z

(CANCELLING THE TERMS WE GET)

XYZ = 1