   Chapter 8.1, Problem 76ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Find all whole number solutions of the congruence equation. ( 3 x + 1 ) ≡ 4 mod 9

To determine

To calculate: To find all whole number solutions of the equation (3x+1)4mod9

Explanation

Given information: The equation (3x+1)4mod9 is given

Calculation:

Consider the following congruence equation (3x+1)4mod9

Begin with 0; substitute each whole number less than 9 into the congruence equation to get

x=03(0)+14mod9 not a solution x=13(1)+14mod9 a solution x=23(2)+14mod9 not a solution x=33(3)+14mod9 not a solution

x=43(

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