Answer
a) Please see below.
b) Please see below.
Work Step by Step
a)
Let $0\div x = y$.
$0\div x = y$
$0\div x*x = y*x$
$0 = xy$
Since $x\ne 0$, by the Zero Property of Multiplication, $y = 0$.
b)
Let there also be a value of $y$ so that $x \div 0= y$.
$x \div 0= y$
$x \div 0*0= y*0$
$x = y*0$
Thus, $x=0$; however, we are told $x\ne0$ (a contradiction). Thus, there are no values of $y$ so that $x \div 0= y$.
