Q. 352 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. 352 (page 264)

In the following exercise, solve each equation with fraction coefficients.
$\frac{7 u 鈭� 1}{4} 鈭� 1 = \frac{4 u + 8}{5}$

Short Answer

Expert verified

$Thesolutionforthegivenequationisu = 3$

Step by step solution

Step 1. Given information

The given equation is $\frac{7 u 鈭� 1}{4} 鈭� 1 = \frac{4 u + 8}{5}$

we have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{7 u 鈭� 1}{4} 鈭� 1 = \frac{4 u + 8}{5} \\ MultiplywiththeLCD,9 \\ 鈬� 20 脳 (\frac{7 u 鈭� 1}{4} 鈭� 1) = 20 脳 (\frac{4 u + 8}{5}) \\ 鈬� 20 脳 (\frac{7 u 鈭� 1}{4}) 鈭� 20 脳 (1) = 20 脳 (\frac{4 u + 8}{5}) (Distribute) \\ 鈬� 5 脳 (7 u 鈭� 1) 鈭� 20 = 4 脳 (4 u + 8) (Simplify) \\ 鈬� 35 u 鈭� 5 鈭� 20 = 16 u + 32 (Distribute) \\ 鈬� 35 u 鈭� 25 = 16 u + 32 (Simplify) \\ 鈬� 35 u 鈭� 16 u 鈭� 25 = 16 u 鈭� 16 u + 32 (Subtract16ufrombothsides) \\ 鈬� 19 u 鈭� 25 = 32 (Simplify) \\ 鈬� 19 u 鈭� 25 + 25 = 32 + 25 (Add25tobothsides) \\ 鈬� 19 u = 57 (Simplify) \\ 鈬� \frac{19 u}{19} = \frac{57}{19} (Dividebothsidesby19) \\ 鈬� u = 3 (Simplify) \\ Thesolutionforthegivenequationisu = 3 \end{array}$

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91影视

In the following exercise, solve each equation with fraction coefficients.
$\frac{7 u 鈭� 1}{4} 鈭� 1 = \frac{4 u + 8}{5}$

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.7u鈭�14鈭�1=4u+85

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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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation with fraction coefficients.
$\frac{7 u 鈭� 1}{4} 鈭� 1 = \frac{4 u + 8}{5}$