Explanation Given Information: The provided equation is | 13 x | = | 2 x + 1 | . Formula used: To solve the equation | a x + b | = | c x + d | is same as solving the compound equations; a x + b = c x + d or a x + b = − ( c x + d ) Calculation: Consider the absolute equation | 13 x | = | 2 x + 1 | . The solution of the above expression is same as solving the compound equations; 13 x = 2 x + 1 or 13 x = − ( 2 x + 1 ) Now take the equation | 13 x | = | 2 x + 1 | , Add − 2 x on both sides of the equation; 13 x − 2 x = 2 x + 1 − 2 x 11 x = 1 Divide by 11 on both sides of the equation; 11 x 11 = 1 11 x = 1 11 Now take the equation | 13 x | = | 2 x + 1 | . After multiplication with negative sign the equation is written as follows, 13 x = − 2 x − 1 Add 2 x on both sides of the equation. 13 x + 2 x = − 2 x − 1 + 2 x 15 x = − 1 Divide by 15 on both sides of the equation. 15 x 15 = − 1 15 x = − 1 15 The solutions are x = 1 11 and x = − 1 15 . Thus, the solution set is { 1 11 , − 1 15 }

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 8.3, Problem 96E

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To calculate: Thesolution set of the absolute equation | 13x |=| 2x+1 |.

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Chapter 8.3, Problem 95E

Chapter 8.3, Problem 97E

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Chapter 8 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Solve each inequality. Give the solution set in...Ch. 8.1 - Prob. 10E

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Thesolution set of the absolute equation | 13 x | = | 2 x + 1 | .

Solution Summary: The author calculates the solution set of the absolute equation left|13xright|= left|2x+1 right|.

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To calculate: Thesolution set of the absolute equation | 13x |=| 2x+1 |.

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Chapter 8 Solutions