algebra

For how many different pairs of numbers, a and b, are the following equalities true:
a+b=a*b=a/b
???????
Thank you for your help.

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  1. if a*b = a/b then b^2 = 1

    If b=1, then a+b = a*b is never true

    If b = -1, then
    a-1 = -a
    a = 1/2

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