Q. 329 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. 329 (page 264)

In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4}$

Short Answer

Expert verified

$Thesolutionforthegivenequationisx=-4$

Step by step solution

Step 1. Given information

The given equation is $x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4}$

We have to solve the given equation

Step 2. Explanation

$\begin{array}{l} Solve:x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4} \\ 鈬� x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4} (FindtheLCDofallfractionsintheequation) \\ TheLCDis4. \\ 鈬� 4 脳 (x+ \frac{3}{4})=4 脳 (\frac{1}{2} x- \frac{5}{4})(MuliplybothsidesoftheequationbytheLCD4) \\ 鈬� 4 脳 x+4 脳 \frac{3}{4} =4 脳 \frac{1}{2} x-4 脳 \frac{5}{4} (Distribute) \\ 鈬� 4x+ 3 = 2 x- 5 (Simplify) \\ 鈬� 4x-2x+ 3 = 2 x-2x- 5 (Subtract2xfrombothsides) \\ 鈬� 2x+ 3 =- 5 (Simplify) \\ 鈬� 2 x + 3 鈭� 3 =-5 鈭� 3 (Subtract3frombothsides) \\ 鈬� 2 x =-8(Simplify) \\ 鈬� \frac{2 x}{2} =- \frac{8}{2} (Dividebothsidesby2) \\ 鈬� x = 鈭� 4 \\ Thesolutionforthegivenequationisx=-4 \end{array}$

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91影视

In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4}$

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+34=12x-54

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation with fraction coefficients.
$x+ \frac{3}{4} = \frac{1}{2} x- \frac{5}{4}$