Q. 351 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. 351 (page 264)

In the following exercise, solve each equation with fraction coefficients.
$\frac{10 y 鈭� 2}{3} + 3 = \frac{10 y + 1}{9}$

Short Answer

Expert verified

$Thesolutionforthegivenequationis y = 鈭� 1$

Step by step solution

Step 1. Given infromation

The given equation is $\frac{10 y 鈭� 2}{3} + 3 = \frac{10 y + 1}{9}$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{10 y 鈭� 2}{3} + 3 = \frac{10 y + 1}{9} \\ MultiplywiththeLCD,9 \\ 鈬� 9 脳 (\frac{10 y 鈭� 2}{3} + 3) = 9 脳 (\frac{10 y + 1}{9}) \\ 鈬� 9 脳 (\frac{10 y 鈭� 2}{3}) + 9 脳 (3) = 9 脳 (\frac{10 y + 1}{9}) (Distribute) \\ 鈬� 3 脳 (10 y 鈭� 2) + 27 = 1 脳 (10 y + 1) (Simplify) \\ 鈬� 30 y 鈭� 6 + 27 = 10 y + 1 (Distribute) \\ 鈬� 30 y + 21 = 10 y + 1 (Simplify) \\ 鈬� 30 y 鈭� 10 y + 21 = 10 y 鈭� 10 y + 1 (Subtract10yfrombothsides) \\ 鈬� 20 y + 21 = 1 (Simplify) \\ 鈬� 20 y + 21 鈭� 21 = 1 鈭� 21 (Subtract21frombothsides) \\ 鈬� 20 y = 鈭� 20 (Simplify) \\ 鈬� \frac{20 y}{20} = 鈭� \frac{20}{20} (Dividebothsidesby20) \\ 鈬� y = 鈭� 1 (Simplify) \\ Thesolutionforthegivenequationis y = 鈭� 1 \end{array}$

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91影视

In the following exercise, solve each equation with fraction coefficients.
$\frac{10 y 鈭� 2}{3} + 3 = \frac{10 y + 1}{9}$

Short Answer

Step by step solution

Step 1. Given infromation

Step 2. Explanation

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91影视

In the following exercise, solve each equation with fraction coefficients.10y鈭�23+3=10y+19

Short Answer

Step by step solution

Step 1. Given infromation

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Pure Maths

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Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation with fraction coefficients.
$\frac{10 y 鈭� 2}{3} + 3 = \frac{10 y + 1}{9}$