If the symbol $@$ represents either addition or multiplication, which operation does it represent?

If the symbol $@$ represents either addition or multiplication, which operation does it represent?

(1) $a@b = b@a$ for all numbers $a$ and $b.$
(2) $a@(b - c) = (a@b) - (a@c)$ for all numbers $a, b,$ and $c.$

Answer: B

Source: GMAT Prep

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