Addition is communtative, so x+y=y+x. Subtraction is not communtative, x-y=-y+x, not y-x. Addition and Multiplication are commutative, while subtraction and division are not.
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Addition and subtraction are reverse operations.
Addition is the inverse operation to subtraction.
Subtraction is the addition of a negative number.
Subtraction can be seen as the inverse operation to addition.
You don't. You can check addition with subtraction or subtraction with addition, since subtraction is the opposite of addition. Similary, you can check division with multiplication, or vice versa.