Chapter 2: Q. 112 (page 219)

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$- \frac{7}{20} = - \frac{7}{4} v$

Short Answer

Expert verified

On solving, we get $v = \frac{1}{5} .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenequationis - \frac{7}{20} = - \frac{7}{4} v . \\ Wehavetosolvethegivenequationandthenverifytheresult. \end{array}$

Step 2. Simplify

$\begin{array}{l} Now, \\ \Rightarrow - \frac{7}{20} = - \frac{7}{4} v \\ \Rightarrow - \frac{4}{7} \times (- \frac{7}{20}) = - \frac{7}{4} \times (- \frac{4}{7} v) [Multiplybothsidesbyreciprocalof - \frac{4}{7}] \\ \Rightarrow - \frac{4}{7} \times (- \frac{7}{4 \times 5}) = v \\ \Rightarrow \frac{1}{5} = v \\ o r \\ \Rightarrow v = \frac{1}{5} \end{array}$

Step 3. Checking the result

$\begin{array}{l} Wehave, \\ \Rightarrow - \frac{7}{20} = - \frac{7}{4} v \\ \Rightarrow - \frac{7}{20} = - \frac{7}{4} (\frac{1}{5}) [Substitute v = \frac{1}{5}] \\ \Rightarrow - \frac{7}{20} = - \frac{7}{20} \\ L.H.S = R.H.S \\ Henceverified. \end{array}$

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$- \frac{7}{20} = - \frac{7}{4} v$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.−720=−74v

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

Logic and Functions

Theoretical and Mathematical Physics

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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.
$- \frac{7}{20} = - \frac{7}{4} v$