Chapter 2: Q. 4 (page 215)

In the following exercise, determine whether the given value is a solution to the equation.
$Isv = - \frac{1}{3} asolutionof9v-2 = 3 v ?$

Short Answer

Expert verified

Step by step solution

Step 1. Given informaiton

In the following exercise, determine whether the given value is a solution to the equation.

$Isv = - \frac{1}{3} asolutionof9v-2 = 3 v ?$

Step 2. Explanation

$\begin{array}{l} Sinceasolutiontoanequationisavlaueofthevariablethatmakestrue, \\ Beingbysubstitutingthevalueofthesolutionofrthevariable. \\ Substitutev = - \frac{1}{3} forv \\ \Rightarrow 9v-2 = 3 v \\ \Rightarrow 9 (- \frac{1}{3})-2 = 3 (- \frac{1}{3}) \\ \Rightarrow 9 (- \frac{1}{3})-2 = 3 (- \frac{1}{3}) \\ \Rightarrow 3 (- 1) - 2 = 1 (- 1) Multiply \\ \Rightarrow - 3 - 2 = 1 (- 1) \\ \Rightarrow - 5 = - 1 \\ Sincev = - \frac{1}{3} resultsfalse. \\ \Rightarrow v = - \frac{1}{3} isnotasolutiontothegivenequation \end{array}$

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In the following exercise, determine whether the given value is a solution to the equation.
$Isv = - \frac{1}{3} asolutionof9v-2 = 3 v ?$

Short Answer

Step by step solution

Step 1. Given informaiton

Step 2. Explanation

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In the following exercise, determine whether the given value is a solution to the equation.Isv=−13asolutionof9v-2=3v?

Short Answer

Step by step solution

Step 1. Given informaiton

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In the following exercise, determine whether the given value is a solution to the equation.
$Isv = - \frac{1}{3} asolutionof9v-2 = 3 v ?$