Q. 328 In the following exercise, solve... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 328 (page 264)

In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2}$

Short Answer

Expert verified

$Thesolutionforthegivenequationisx=-3$

Step by step solution

Step 1. Given information

The given equation is $x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2}$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve:x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2} \\ 鈬� x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2} (FindtheLCDofallfractionsintheequation) \\ TheLCDis6. \\ 鈬� 6 脳 (x+ \frac{1}{2})= 6 脳 (\frac{2}{3} x- \frac{1}{2})(MuliplybothsidesoftheequationbytheLCD6) \\ 鈬� 6 脳 x+ 6 脳 \frac{1}{2} = 6 脳 \frac{2}{3} x- 6 脳 \frac{1}{2} (Distribute) \\ 鈬� 6 x+ 3 = 4 x- 3 (Simplify) \\ 鈬� 6 x-4x+ 3 = 4 x-4x- 3 (Subtract4xfrombothsides) \\ 鈬� 2 x + 3 =- 3 (Simplify) \\ 鈬� 2 x + 3 鈭� 3 =- 3 鈭� 3 (Subtract3frombothsides) \\ 鈬� 2 x =-6(Simplify) \\ 鈬� \frac{2 x}{2} =- \frac{6}{2} (Dividebothsidesby2) \\ 鈬� x = 鈭� 3 \\ Thesolutionforthegivenequationisx=-3 \end{array}$

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91影视

In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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91影视

In the following exercise, solve each equation with fraction coefficients.x+12=23x-12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

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In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{1}{2} = \frac{2}{3} x- \frac{1}{2}$