The flux control coefficient connectivity theorem is the easiest to understand. Starting with a simple two step pathway:
where  and  are fixed species so that the pathway can reach a steady-state.  and  are the reaction rates for the first and second steps.
We can write the flux connectivity theorem for this simple system as follows:
where  is the elasticity of the first step  with respect to the species  and  is the elasticity of the second step  with respect to the species . It is easier to interpret the equation with a slight rearrangement to the following form:
The equation indicates that the ratio of the flux control coefficients is inversely proportional to the elasticities. That is, a high flux control coefficient on step one is associated with a low elasticity  and vice versa. Likewise a high value for the flux control coefficient on step two is associated with a low elasticity .
This can be explained as follows: If  is high (in absolute terms, since it is negative) then a change at  will be resisted by the elasticity, hence the flux control coefficient on step one will be low.