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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

Expert verified

The property that justifies the statement is Property of algebra.

Step by step solution

01

Step 1. State the concept to be used.

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

02

Step 2. Show the calculation.

Consider 8x=16.

Divide on both sides by 8,

8x8=168x=2

Hence, the property of algebra justifies the statement.

03

Step 3. State the conclusion.

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

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