SOLUTION: Given numbers a and b, define a�b=a+ab+b. For example, 2�3=2+2(3)+3=11. 1.) What number is the identity of �? That is, what is the number I such that x�I=x for all values of x. 2

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Question 908512: Given numbers a and b, define a�b=a+ab+b. For example, 2�3=2+2(3)+3=11.
1.) What number is the identity of �? That is, what is the number I such that x�I=x for all values of x.
2.) What number is the inverse of 1 with respect to �? That is, what number a satisfies a�1=I, where I is the number that you found in question number 1?
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Your copyrite symbol will not render, so I must use here something else. I will use pure text without the rendering tags...

The identity element,
x�I=x+xI+I
and you want .

----the identity element for your operation

Checking to see if the operation is or is not commutative might be something worth doing.

Question Number 2:

You seem to want to find the number a such that a�1=I, having just found that I=-1; so you want to know a such that a�1=-1.
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(This somehow seems strange)