How to prove the Lorenz Equations are in steady state at the origin

Question

The Lorenz equations are described as:

$\dfrac{dx}{dt} = -\sigma x + \sigma y$
$\dfrac{dy}{dt} = (r-z)x - y$
$\dfrac{dz}{dt} = xy - bz$

I’m looking to prove that these are in steady state at the origin Any help would be greatly appreciated!