Question 36
The nonzero numbers $x$, $y$, and $z$ satisfy the equations
$$
x y = 2(x + y), \quad y z = 4(y + z), \quad \text{and} \quad x z = 8(x + z)
$$
Solve for $x$.
$$
x y = 2(x + y), \quad y z = 4(y + z), \quad \text{and} \quad x z = 8(x + z)
$$
Solve for $x$.