Given:
![5 (x + y) = 5 (y + x)](https://tex.z-dn.net/?f=5%20%28x%20%2B%20y%29%20%3D%205%20%28y%20%2B%20x%29)
Solution:
Here, we need to find the property illustrated by this equation.
It the given equation, we write (x+y) as (y+x).
According to the Commutative Property of Addition, if a and b are two real numbers, then
![a+b=b+a](https://tex.z-dn.net/?f=a%2Bb%3Db%2Ba)
It means, Commutative Property of Addition is illustrated by the given equation.
Therefore, the correct option is b, i.e., Commutative Property of Addition.