Asked by Maureen Ukatu
An operation* is defined by a set of x*y=x+y+3xy as an element of real numbers, find the identity element
Answers
Answered by
oobleck
If y is the identity element, then x*y = x
x+y+3xy = x
y+3xy = 0
y(3x+1) = 0
y=0
so 0 is the identity element
extra credit: what is the inverse of x?
x+y+3xy = x
y+3xy = 0
y(3x+1) = 0
y=0
so 0 is the identity element
extra credit: what is the inverse of x?
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