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The substitution reaction is defined as a reaction in which the functional group of one chemical compound is substituted by another group or it is a reaction which involves the replacement of one atom or a molecule of a compound with another atom or molecule.
Comments Section Sn1/E1 have an intermediate carbocation (theyre not concerted mechanisms like Sn2/E2). So if you see a methyl/hydride shift, thats indicative of one of those two. Both also tend to work with tertiary substrates. Sn1 uses weak nucleophiles, and E1 uses weak bases. That also differentiates them.
In a substitution reaction an existing group on the substrate is removed and a new group takes its place. In an elimination reaction the group is simply removed and no new group comes to take its place and this usually results in a double or triple bond forming in the substrate instead.
The most obvious way to distinguish E1 vs E2 is by looking at the number of steps in the mechanism. E1 takes place in two steps and has a carbocation intermediate; on the other hand, E2 takes place in one step and has no intermediate.
So, the major difference between the substitution and elimination method is that the substitution method is the process of replacing the variable with a value, whereas the elimination method is the process of removing the variable from the system of linear equations.
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Elimination means removal. So, a reaction in which only the removal of atoms takes place is called an elimination reaction. Substitution means replacing one thing with another. Such a reaction, in which an atom or group is replaced by other atoms is called a substitution reaction.

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