The Michaelis-Menten rate equation for an enzyme subject to competitive inhibition is V₀=Vmax[S]/αKm+[S]. begining with the same michaelis-Menten starting point, V₀=k₂[ES] equation 1. a new definition of total enzyme as [Et]=[E]+[ES]+[EI] equation 2 and the definitions of α and K₁ provided, derive the rate equation for competitive inhibition. Use the derivation of the Michaelis-Menten equation as a guide, developing a term for [ES]. In the previous step, you derived the equation [Et]=[E]+[ES]+[E][I]/K₁ equation 3 . Simplify equation 3 combining the terms containing [Et]= ?