If y=1, then (x+5). y=x+5. which property supports this statement?

Multiplicative Identity Property of Real Numbers.

Step-by-step explanation:

The given equation is:

(x + 5) · y = x + 5

which is true for y = 1.

The property which supports this statements is Multiplicative Identity Property of Real Numbers.

According to this property if any non-zero number is multiplied to 1, the result will be the same number. Because of this 1 is known as the multiplicative identity of the Real numbers.

For any non-zero number a,

a x 1 = 1 x a = a