Question

Name or state the postulate, property, definition or theorem that justifies the statement.

If $8x=16$, then $x=2$.

Short answer

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 $8x=16$, then $x=2$”, the properties of algebra will be used.

Step 2. Show the calculation.

Consider $8x=16$.

Divide on both sides by 8,

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

Hence, the property of algebra justifies the statement.

Step 3. State the conclusion.

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