Does x-y=x+(-y) for all numbers x and y?

Yes.

yes, that is correct

thanks u both but i already answered yes to that question

To determine if the equation x - y is equal to x + (-y) for all numbers x and y, we need to evaluate both sides of the equation separately and then compare them.

The statement x - y represents the subtraction of y from x.

The statement x + (-y) represents the addition of the opposite of y to x. In mathematics, the opposite of a number is denoted by the negative sign (-) placed in front of the number.

So, to determine if x-y is equal to x + (-y), we can simplify both sides of the equation:

x - y = x + (-y)

(x-y) = (x-y)

Now, we can see that both sides of the equation are the same, which means that x - y is indeed equal to x + (-y) for all numbers x and y.