Given:
[tex]5 (x + y) = 5 (y + x)[/tex]
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
[tex]a+b=b+a[/tex]
It means, Commutative Property of Addition is illustrated by the given equation.
Therefore, the correct option is b, i.e., Commutative Property of Addition.