Question 25
Suppose that $x, y, z$ are non-zero real numbers such that
$$
x = 2 - \frac{y}{z}, \quad y = 2 - \frac{z}{x}, \quad z = 2 - \frac{x}{y}
$$
Find all possible values of $T = x + y + z$.
$$
x = 2 - \frac{y}{z}, \quad y = 2 - \frac{z}{x}, \quad z = 2 - \frac{x}{y}
$$
Find all possible values of $T = x + y + z$.