Chapter 2: Q. 3 (page 215)

In the following exercise, determine whether the given value is a solution to the equation.
$Isu = - \frac{1}{2} asolutionof8u-1 = 6 u ?$

Short Answer

Expert verified

The given value $u = - \frac{1}{2}$ is not the solution for the given equation.

Step by step solution

Step 1. Given information

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

We have to determine the given value $u = - \frac{1}{2}$ is the solution for the given equation.

Step 2. Explanation

$\begin{array}{l} Sinceasolutiontoanequationisavlaueofthevariablethatmakestrue, \\ Beingbysubstitutingthevalueofthesolutionofrthevariable. \\ Substituteu = - \frac{1}{2} foru \\ \Rightarrow 8u-1 = 6 u \\ \Rightarrow 8(- \frac{1}{2})-1 = 6 (- \frac{1}{2}) \\ \Rightarrow 8 (- \frac{1}{2}) - 1 = 6 (- \frac{1}{2}) \\ \Rightarrow 4 (- 1) - 1 = 3 (- 1) Multiply \\ \Rightarrow - 4 - 1 = - 3 \\ \Rightarrow - 5 = - 3 \\ Sinceu = - \frac{1}{2} resultsfalse. \\ \Rightarrow u = - \frac{1}{2} isnotasolutiontothegivenequation \end{array}$

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In the following exercise, determine whether the given value is a solution to the equation.
$Isu = - \frac{1}{2} asolutionof8u-1 = 6 u ?$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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In the following exercise, determine whether the given value is a solution to the equation.Isu=−12asolutionof8u-1=6u?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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In the following exercise, determine whether the given value is a solution to the equation.
$Isu = - \frac{1}{2} asolutionof8u-1 = 6 u ?$