Q43 Find the value of the variable.2... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 1: Q43 (page 10)

Find the value of the variable.
$2 (4 d + 4) = d + 1$

Short Answer

Expert verified

The value of the variable is $d = 鈭� 1$ .

Step by step solution

Step 1. Apply the distributive property of multiplication.

The formula of distributive property of multiplication is given by: $x (y + z) = x y + x z$ . Apply this property to the left-hand side of the equation $2 (4 d + 4) = d + 1$ .

$\begin{array}{l} 2 (4 d + 4) = d + 1 \\ 2 脳 4 d + 2 脳 4 = d + 1 \\ 8 d + 8 = d + 1 \end{array}$

Step 2. Subtract d.

To further simplify, subtract d from both sides of the equation $8 d + 8 = d + 1$ .

$\begin{array}{l} 8 d + 8 鈭� d = d + 1 鈭� d \\ 7 d + 8 = 1 \end{array}$

Step 3. Subtract 8.

To find the value of variable d in the equation, $7 d + 8 = 1$ subtract 8 from both sides of the equation.

$\begin{array}{l} 7 d + 8 鈭� 8 = 1 鈭� 8 \\ 7 d = 鈭� 7 \end{array}$

Step 4. Divide by 7.

Divide both sides of the equation $7 d = 鈭� 7$ by 7 and cancel the common factors of 7 on both sides.

$\begin{array}{l} \frac{7 d}{7} = 鈭� \frac{7}{7} \\ d = 鈭� 1 \end{array}$

Step 5. Verify the value.

In order to verify the value of d, substitute -1 for d into the equation $2 (4 d + 4) = d + 1$ .

$\begin{array}{l} 2 (4 脳 (鈭� 1) + 4) = 鈭� 1 + 1 \\ 2 (鈭� 4 + 4) = 0 \\ 0 = 0 True \end{array}$

Hence, the value of the variable is $d = - 1$ .

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91影视

Find the value of the variable.
$2 (4 d + 4) = d + 1$

Short Answer

Step by step solution

Step 1. Apply the distributive property of multiplication.

Step 2. Subtract d.

Step 3. Subtract 8.

Step 4. Divide by 7.

Step 5. Verify the value.

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91影视

Find the value of the variable.24d+4=d+1

Short Answer

Step by step solution

Step 1. Apply the distributive property of multiplication.

Step 2. Subtract d.

Step 3. Subtract 8.

Step 4. Divide by 7.

Step 5. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Mechanics Maths

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$2 (4 d + 4) = d + 1$