Q17. - Algebra 2

Question

Name the property illustrated by each equation or statement.

 

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

Step-by-Step Solution

Answer

Property illustrated in the statement is commutative property of addition.

Step 1 – Commutative property of addition.

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

Step 2 – Description of step.

Apply commutative property of addition to $\left(4+x\right)+y$.

 

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

Step 3 – 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.