Chapter 2: Q 4 (page 111)

In the following exercises, determine whether the given values are solutions to the equation. $9 v - 2 = 3 v$
$v = - \frac{1}{3}$
$v = \frac{1}{3}$

Short Answer

Expert verified

$v = \frac{1}{3}$ is the solution of $9 v - 2 = 3 v$

Step by step solution

Step 1. Given information

The equation is $9 v - 2 = 3 v$

Check the solution by substitution method.

Step 2. Check option a

Substitute $v = - \frac{1}{3}$ in equation $9 v - 2 = 3 v$

$9 (- \frac{1}{3}) - 2 = 3 (- \frac{1}{3}) - 3 - 2 = - 1 - 5 \neq - 1$

So, $v = - \frac{1}{3}$ is not solution.

Step 3. Check option b

Substitute $v = \frac{1}{3}$ in equation $9 v - 2 = 3 v$

$9 (\frac{1}{3}) - 2 = 3 (\frac{1}{3}) 3 - 2 = 1 1 = 1$

So, $v = \frac{1}{3}$ is the solution.

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In the following exercises, determine whether the given values are solutions to the equation. $9 v - 2 = 3 v$
$v = - \frac{1}{3}$
$v = \frac{1}{3}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Check option a

Step 3. Check option b

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In the following exercises, determine whether the given values are solutions to the equation. 9v-2=3vv=-13v=13

Short Answer

Step by step solution

Step 1. Given information

Step 2. Check option a

Step 3. Check option b

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercises, determine whether the given values are solutions to the equation. $9 v - 2 = 3 v$
$v = - \frac{1}{3}$
$v = \frac{1}{3}$