Question 172
Let $x$, $y$, $z$ be mutually different real numbers satisfying
$$
x(z + 1) = y(x + 1) = z(y + 1).
$$
Show that $z \neq 0$ and find the value of the expression $y + 1/z$.
$$
x(z + 1) = y(x + 1) = z(y + 1).
$$
Show that $z \neq 0$ and find the value of the expression $y + 1/z$.