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The binary operation * is defined on the set of R, of real n...

The binary operation * is defined on the set of R, of real numbers by xy=3x+3yxy,x,yR. Determine, in terms of x, the identity element of the operation.

A.

2xx3,x3

B.

2xx+3,x3

C.

3xx3,x3

D.

3xx+3,x3

Correct answer is A

From the rules of binary operation, xe=x

xe=3x+3exe=x

3exe=x3x=2x

e=2xx3,x3