Question

Name the property illustrated by each equation or statement.

$\left(\mathbf{4}\mathbf{+}\mathbf{x}\right)\mathbf{+}\mathbf{y}\mathbf{=}\mathbf{y}\mathbf{+}\left(\mathbf{4}\mathbf{+}\mathbf{x}\right)$

Short answer

Property illustrated in the statement iscommutative property of addition.

Step-by-step solution

– Commutative property of addition.

For any real numbers p and q, $p+q=q+p$.

– Description of step.

Applycommutative property of additionto $\left(4+x\right)+y$.

$\left(4+x\right)+y=y+\left(4+x\right)$

– Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is commutative property of addition.

Therefore, commutative property of addition is illustrated in the given statement.