Chapter 1: Q18 (page 10)

Find the value of the variable.
$- 16 = - 4 k$

Short Answer

Expert verified

The value of the variable is $k = 4$ .

Step by step solution

Step 1. Divide by 4.

To find the value of the variable k in the equation $- 16 = - 4 k$ , divide both sides of the equation by 4.

$- \frac{16}{4} = - \frac{4 k}{4}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 4 on both sides.

$\begin{array}{l} - \frac{4 \times 4}{4} = - \frac{4 k}{4} \\ - 4 = - k \end{array}$

Step 3. Multiply by -1.

In order to obtain k, multiply the equation $- 4 = - k$ from both sides with $- 1$ .

$\begin{array}{l} - 4 \times (- 1) = - k \times (- 1) \\ 4 = k \end{array}$

Step 4. Verify the value.

In order to verify the value of k, substitute 4 for k into the equation $- 16 = - 4 k$ .

$\begin{array}{l} - 16 = - 4 \times 4 \\ - 16 = - 16 True \end{array}$

Hence, the value of the variable is $k = 4$ .

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Find the value of the variable.
$- 16 = - 4 k$

Short Answer

Step by step solution

Step 1. Divide by 4.

Step 2. Simplify the equation.

Step 3. Multiply by -1.

Step 4. Verify the value.

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Find the value of the variable.−16=−4k

Short Answer

Step by step solution

Step 1. Divide by 4.

Step 2. Simplify the equation.

Step 3. Multiply by -1.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Pure Maths

Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$- 16 = - 4 k$