Question 68
Solve in the real numbers the system
$$
x^3 = \frac{z}{y} - \frac{2y}{z}, \quad y^3 = \frac{x}{z} - \frac{2z}{x}, \quad z^3 = \frac{y}{x} - \frac{2x}{y}.
$$
$$
x^3 = \frac{z}{y} - \frac{2y}{z}, \quad y^3 = \frac{x}{z} - \frac{2z}{x}, \quad z^3 = \frac{y}{x} - \frac{2x}{y}.
$$