# If 8 = x and x = y, then 8 = y is an example of which algebraic property?

Oct 11, 2015

This is an example of the Transitive Property of Equality.

#### Explanation:

The Transitive Property of Equality says that

If $\textcolor{red}{a} = \textcolor{g r e e n}{b}$ and $\textcolor{g r e e n}{b} = \textcolor{b l u e}{c}$, then $\textcolor{red}{a} = \textcolor{b l u e}{c}$

In less mathematical terms:

If $\textcolor{red}{\text{this}}$ is the same as $\textcolor{g r e e n}{\text{that}}$ and $\textcolor{g r e e n}{\text{that}}$ is the same as $\textcolor{b l u e}{\text{the other thing}}$, then $\textcolor{red}{\text{this}}$ is the same as $\textcolor{b l u e}{\text{the other thing}}$.