Chapter 2: Q1. (page 71)

Name or state the postulate, property, definition or theorem that justifies the statement.
If $8 x = 16$ , then $x = 2$ .

Short Answer

Expert verified

The property that justifies the statement is Property of algebra.

Step by step solution

Step 1. State the concept to be used.

To justify the statement “If $8 x = 16$ , then $x = 2$ ”, the properties of algebra will be used.

Step 2. Show the calculation.

Consider $8 x = 16$ .

Divide on both sides by 8,

$\begin{matrix} \frac{8 x}{8} = \frac{16}{8} \\ x = 2 \end{matrix}$

Hence, the property of algebra justifies the statement.

Step 3. State the conclusion.

Therefore, the statement is justified by the Property of algebra.

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Name or state the postulate, property, definition or theorem that justifies the statement.
If $8 x = 16$ , then $x = 2$ .

Short Answer

Step by step solution

Step 1. State the concept to be used.

Step 2. Show the calculation.

Step 3. State the conclusion.

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Name or state the postulate, property, definition or theorem that justifies the statement.If 8x=16, then x=2.

Short Answer

Step by step solution

Step 1. State the concept to be used.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Geometry

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Name or state the postulate, property, definition or theorem that justifies the statement.
If $8 x = 16$ , then $x = 2$ .