Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-6 Multiplying and Dividing Real Numbers - Practice and Problem-Solving Exercises - Page 44: 65


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 $x \div 0= y$.
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