Q. 109 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. 109 (page 229)

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{7}{12} = 鈭� \frac{3}{4} p$

Short Answer

Expert verified

On solving, we get $p = - \frac{7}{9} .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenequationis \frac{7}{12} = 鈭� \frac{3}{4} p . \\ Wehavetosolvethegivenequationandthenverifytheresult. \end{array}$

Step 2. Simplify

$\begin{array}{l} Now, \\ 鈬� \frac{7}{12} = 鈭� \frac{3}{4} p \\ 鈬� 鈭� \frac{4}{3} 脳 \frac{7}{12} = 鈭� \frac{4}{3} 脳 (鈭� \frac{3}{4} p) [Multiplybothsidesbyreciprocalof- \frac{3}{4}] \\ 鈬� 鈭� \frac{7}{9} = p \\ o r \\ 鈬� p = 鈭� \frac{7}{9} \end{array}$

Step 3. Checking the result

$\begin{array}{l} Wehave, \\ 鈬� \frac{7}{12} = 鈭� \frac{3}{4} p \\ 鈬� \frac{7}{12} = 鈭� \frac{3}{4} (鈭� \frac{7}{9}) [Substitute p = 鈭� \frac{7}{9}] \\ 鈬� \frac{7}{12} = 鈭� \frac{3}{4} 脳 (鈭� \frac{7}{3 脳 3}) \\ 鈬� 鈭� \frac{7}{12} = 鈭� \frac{7}{12} \\ L.H.S = R.H.S \\ Henceverified. \end{array}$

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91影视

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{7}{12} = 鈭� \frac{3}{4} p$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

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91影视

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.712=鈭�34p

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$\frac{7}{12} = 鈭� \frac{3}{4} p$