Q. 590 In the following exercises, solv... [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. 590 (page 296)

In the following exercises, solve each equation with fraction coefficients
$\frac{3}{4} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{5}{6}$

Short Answer

Expert verified

$Thesimplifiedvalueis a = 鈭� 6$

Step by step solution

Step 1. Given information

The given equation is $\frac{3}{4} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{5}{6}$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{3}{4} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{5}{6} \\ 鈬� \frac{3}{4} a 鈭� \frac{1}{2} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{1}{2} a 鈭� \frac{5}{6} (Aubtract \frac{1}{2} afrombothsides) \\ 鈬� \frac{3}{4} a 鈭� \frac{1}{2} a 鈭� \frac{1}{3} = 鈭� \frac{5}{6} (Simplify) \\ 鈬� \frac{3}{4} a 鈭� \frac{1}{2} a 鈭� \frac{1}{3} + \frac{1}{3} = 鈭� \frac{5}{6} + \frac{1}{3} (Add- \frac{1}{3} tobothsides) \\ 鈬� \frac{3}{4} a 鈭� \frac{1}{2} a = 鈭� \frac{5}{6} + \frac{1}{3} (Simplify) \\ 鈬� \frac{3 a 鈭� 2 a}{4} = \frac{鈭� 5 + 2}{6} (TakeLCDtobothsides) \\ 鈬� \frac{1}{4} a = \frac{鈭� 3}{2} (Simplify) \\ 鈬� \frac{1}{4} a 脳 4 = \frac{鈭� 3}{2} 脳 4(Multiplybothsidesby4) \\ 鈬� a = 鈭� 6 (Simplify) \\ Thesimplifiedvalueis a = 鈭� 6 \end{array}$

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91影视

In the following exercises, solve each equation with fraction coefficients
$\frac{3}{4} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{5}{6}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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91影视

In the following exercises, solve each equation with fraction coefficients 34a鈭�13=12a鈭�56

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation with fraction coefficients
$\frac{3}{4} a 鈭� \frac{1}{3} = \frac{1}{2} a 鈭� \frac{5}{6}$