Q. 335 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. 335 (page 264)

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

Short Answer

Expert verified

$Thesolutionforthegivenequaitonis x =-6$

Step by step solution

Step 1. Given information

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

We have to sovle the given eqaution.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{1}{3} x+ \frac{2}{5} = \frac{1}{5} x- \frac{2}{5} \\ 鈬� \frac{1}{3} x+ \frac{2}{5} = \frac{1}{5} x- \frac{2}{5} (FindtheLCDofallfractionsintheequation) \\ TheLCDis15 \\ 鈬� 15 脳 (\frac{1}{3} x+ \frac{2}{5})= 15 脳 (\frac{1}{5} x- \frac{2}{5})(MultiplybothsidesbytheLCD15) \\ 鈬� 15 脳 \frac{1}{3} x+ 15 脳 \frac{2}{5} = 15 脳 \frac{1}{5} x- 15 脳 \frac{2}{5} (Distribute) \\ 鈬� 5 x+ 6 = 3 x- 6 (Simplify) \\ 鈬� 5 x-3x+ 6 = 3 x-3x- 6 (Subtract3xfrombothsides) \\ 鈬� 2 x+ 6 =- 6 (Simplify) \\ 鈬� 2 x+ 6 鈭� 6 =- 6 鈭� 6 (Subtract6frombothsides) \\ 鈬� 2 x=-12(Simplify) \\ 鈬� \frac{2 x}{2} =- \frac{12}{2} (Dividebothsideby2) \\ 鈬� x =-6(Simplify) \\ Thesolutionforthegivenequaitonis x =-6 \end{array}$

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91影视

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

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.13x+25=15x-25

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

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