Q. 2. 104 Solve:聽12m鈭�3=14m鈭�7... [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. 2. 104 (page 259)

$Solve: \frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m 鈭� 7)$

Short Answer

Expert verified

$Thesolutionforthegivenequaitonisn=2$

Step by step solution

Step 1. Given information

The given equation is $\frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m 鈭� 7)$

We have to solve the givne equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m 鈭� 7) \\ 鈬� \frac{1}{2} 脳 m 鈭� \frac{1}{2} 脳 3 = \frac{1}{4} 脳 m 鈭� \frac{1}{4} 脳 7 (Distribute) \\ 鈬� \frac{m}{2} 鈭� \frac{3}{2} = \frac{m}{4} 鈭� \frac{7}{4} (Simplify) \\ MultiplybothsidebytheLCD,4 \\ 鈬� 4 脳 (\frac{m}{2} 鈭� \frac{3}{2}) = 4 脳 (\frac{m}{4} 鈭� \frac{7}{4}) \\ 鈬� 4 脳 \frac{m}{2} 鈭� 4 脳 \frac{3}{2} = 4 脳 \frac{m}{4} 鈭� 4 脳 \frac{7}{4} (Distribute) \\ 鈬� 2 m 鈭� 6 = m 鈭� 7 (Simplify) \\ 鈬� 2 m 鈭� m 鈭� 6 = m 鈭� m 鈭� 7 (Subtractmfrombothsides) \\ 鈬� m 鈭� 6 = 鈭� 7 (Simplify) \\ 鈬� m 鈭� 6 + 6 = 鈭� 7 + 6 (Add6tobothsides) \\ 鈬� m = 鈭� 1 (Simplify) \\ 鈬� 鈭� \frac{n}{鈭� 1} = \frac{鈭� 2}{鈭� 1} (Dividebothsideby-1) \\ 鈬� n =2(Simplify) \\ Thesolutionforthegivenequaitonisn=2 \end{array}$

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91影视

$Solve: \frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m 鈭� 7)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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91影视

Solve:12m鈭�3=14m鈭�7

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

Statistics

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Applied Mathematics

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Theoretical and Mathematical Physics

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$Solve: \frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m 鈭� 7)$