Question

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

Answer 1

This is an example of the Transitive Property of Equality.

Explanation:

The Transitive Property of Equality says that

If `color(red)(a)=color(green)(b)` and `color(green)(b)=color(blue)(c)`, then `color(red)(a) =color(blue)(c)`

In less mathematical terms:

If `color(red)"this"` is the same as `color(green)"that"` and `color(green)"that"` is the same as `color(blue)"the other thing"`, then `color(red)"this"` is the same as `color(blue)"the other thing"`.