Prove each of the following theorems using any addition and multiplication axioms you know.

1) If each of x and y is a number, and y does not equal 0, then x*(1/y) = (x/y).

2) If each of x and y is a number, and y does not equal 0, then -y does not equal 0, (1/-y) = -(1/y), and -(x/y) = ((-x)/y) = (x/(-y)).