Question

what is the identity element for a*b=3ab/7

Answer 1

Answer:

The identity element is $\frac{7}{3}$

Step-by-step explanation:

Concept used:

Identity axiom:

Let G be a non empty set.

There exists an element e∈G such that

a*e = e*a = a, for all a∈G, is called identity

element of G.

Here, * is binary operation.

Given:

$a*b=\frac{3ab}{7}$

By definition of identity element

a*e = e*a = a

This implies,

$a*e = a\\\\\frac{3ae}{7}=a\\\\e=\frac{7}{3}$

Answer 2

The identity element is

Concept used:

Identity axiom:

Let G be a non empty set.

There exists an element e∈G such that

a*e = e*a = a, for all a∈G, is called identity

element of G.

Here, * is binary operation.

Given:

By definition of identity element

a*e = e*a = a

This implies,