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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q 609. (page 220)

In the following exercise, solve.
$|3 x - 4| + 5 = 7$

Short Answer

Expert verified

Solutions of the absolute value equation are $x = \frac{2}{3}, 2$

Step by step solution

Step 1. Given information

Absolute value equation is $|3 x - 4| + 5 = 7$

Step 2. Solution of the absolute value equation.

Consider the absolute value equation $|3 x - 4| + 5 = 7$

Here,

$\begin{array}{rcl} |3 x - 4| + 5 & = & 7 \\ |3 x - 4| & = & 2 \end{array}$

So,

$3 x - 4 = - 2$ or3x - 4 = 2

$3 x = 2$ or $3 x = 6$

$x = \frac{2}{3}$ or $x = 2$

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In the following exercise, solve.3x-4+5=7

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solution of the absolute value equation.

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In the following exercise, solve.
$|3 x - 4| + 5 = 7$