Q. 331 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. 331 (page 264)

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

Short Answer

Expert verified

$Thesolutionforthegivenequationis z =-2$

Step by step solution

Step 1. Given information

The given information is $\frac{3}{2} z+ \frac{1}{3} =z- \frac{2}{3}$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{3}{2} z+ \frac{1}{3} =z- \frac{2}{3} \\ 鈬� \frac{3}{2} z+ \frac{1}{3} =z- \frac{2}{3} (FindtheLCDofallfractionsintheequation) \\ TheLCDis6. \\ 鈬� 6 脳 (\frac{3}{2} z+ \frac{1}{3})=6 脳 (z- \frac{2}{3})(MuliplybothsidesoftheequationbytheLCD6) \\ 鈬� 6 脳 \frac{3}{2} z+ 6 脳 \frac{1}{3} =6 脳 z- 6 脳 \frac{2}{3} (Distribute) \\ 鈬� 9 z+2=6z- 4 (Simplify) \\ 鈬� 9 z-6z+2=6z-6z- 4 (Subtract6zfrombothsides) \\ 鈬� 3 z +2=- 4 (Simplify) \\ 鈬� 3 z +2-2=- 4 鈭� 2(Subtract2frombothsides) \\ 鈬� 3 z =-6(Simplify) \\ 鈬� \frac{3 z}{3} =- \frac{6}{3} (Dividebothsidesby3) \\ 鈬� z =-2(Simplify) \\ Thesolutionforthegivenequationis z =-2 \end{array}$

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91影视

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

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.32z+13=z-23

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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