x+(5+y)=(x+5)+y what property is illustrated by the equation?

associative

given a sum of several numbers, you can add them up in any groupings you choose.

Name the property of real numbers illustrated by the equation.

-4(x + 3) = -4x - 12

The property illustrated by the equation is the Associative Property of Addition.

To understand this property, let's break down the equation and see how it relates:

We have x + (5 + y) on the left side of the equation, which means we are adding the value of x to the sum of 5 and y.

On the right side of the equation, we have (x + 5) + y, which means we are adding the value of x + 5 to y.

Both sides of the equation yield the same result, showing that the grouping of the numbers being added does not affect the sum. We can add the numbers in any order or group them differently, and the sum will remain the same.

This property is known as the Associative Property of Addition. It states that the grouping of numbers being added together can be changed without changing the total sum.