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Q7.

Expert-verified

Pre-algebra

Found in: Page 127

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation. Check your solution. $16 = 8 (x - 1)$

The solution for the equation $16 = 8 (x - 1)$ is $x = 3$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{matrix} 16 = 8 (x - 1) \\ 16 = 8 x - 8 \\ 16 + 8 = 8 x - 8 + 8 \\ 24 = 8 x \\ 8 x = 24 \end{matrix}$

Step 2. Solve for x

Now, divide both sides of the equation by 3.

$\begin{matrix} \frac{8 x}{8} = \frac{24}{8} \\ x = 3 \end{matrix}$

Therefore, the solution of the equation is $x = 3$ .

Step 3. Check the solution

To check the solution, write the original equation and substitute the value of x.

$16 = 8 (x - 1)$

Now, substitute $x = 3$ and check the result.

$\begin{matrix} 16 = 8 (3 - 1) \\ 16 = 8 (2) \\ 16 = 16 \end{matrix}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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