Chapter 2: Q 3 (page 111)

In the following exercises, determine whether the given values are solutions to the equation. $8 u - 1 = 6 u$
$u = - \frac{1}{2}$
$u = \frac{1}{2}$

Short Answer

Expert verified

$u = \frac{1}{2}$ is the solution of the equation $8 u - 1 = 6 u$ .

Step by step solution

Step 1. Given information

The equation is $8 u - 1 = 6 u$

Check the solution

Step 2. Check option a

Substitute $u = - \frac{1}{2}$ in the equation $8 u - 1 = 6 u$

role="math" localid="1644389160240" $8 (- \frac{1}{2}) - 1 = 6 (- \frac{1}{2}) - 4 - 1 = - 3 - 5 \neq - 3$

So,role="math" localid="1644389289002" $u = - \frac{1}{2}$ is not the solution.

Step 3. Check option b

Substitute $u = \frac{1}{2}$ in $8 u - 1 = 6 u$

$8 (\frac{1}{2}) - 1 = 6 (\frac{1}{2}) 4 - 1 = 3 3 = 3$

So, $u = \frac{1}{2}$ is the solution.

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In the following exercises, determine whether the given values are solutions to the equation. $8 u - 1 = 6 u$
$u = - \frac{1}{2}$
$u = \frac{1}{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Check option a

Step 3. Check option b

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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

Logic and Functions

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine whether the given values are solutions to the equation. $8 u - 1 = 6 u$
$u = - \frac{1}{2}$
$u = \frac{1}{2}$