Question

State the property of real number being used.

$3x+2y=2y+3x$

Short answer

This is an example of Commutative property of addition.

Step-by-step solution

Step 1. Understanding properties of real numbers.

• Commutative property:

$\begin{array}{l}a+b=b+a\\ ab=ba\end{array}$

• Associative property:

$\begin{array}{l}\left(a+b\right)+c=a+\left(b+c\right)\\ ab\left(c\right)=a\left(bc\right)\end{array}$

• Distributive property:

$a\left(b+c\right)=ab+bc$

Step 2. Comparing the given equation with the properties.

Given equation resembles with the property of commutative property.

Step 3. Understanding commutative property of addition.

Where the sequence of adding of numbers does not matters.