The Michaelis-Menten rate equation for an enzyme subject to competitive inhibition is
V0​=Vmax​[S]​/αKm​+[S]
Beginning with the same Michaelis-Menten starting point,
V0​=k2​[ES]
a new definition of total enzyme as
[Et​]=[E]+[ES]+[EI]
and the definitions of α and KI​ 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 steps, you derived the equations
[Et​]=[E]+[ES]+​[E][I]/KI
​[Et​]=[ES]+[E](1+​[I]​)/KI
[Et​]=[ES]+[E]α
[E]=[ES]Km/[S]​​​

Now substitute equation 6 into equation 5. Simplify the resulting equation such that it only has one term on the right side.
[Et​]= ______
The substituted version of equation 5 will become equation 7 in the derivation.