Question

What property is illustrated by 6x - 2y + 3x + 7y= 6x +

x+3x-2y + 7y?
O a. associative property of addition
O b. commutative property of addition
O c. additive identity property
O d. distributive property

Answer 1

The property illustrated by the given equation is the commutative property of addition.

Step-by-step explanation:

The property illustrated by the given equation is the commutative property of addition.

This property states that the order of the numbers being added does not affect the sum. In this case, the terms on the left side of the equation can be rearranged without changing the result.

For example, if we reorder the terms on the left side of the equation, we have: 6x + 3x - 2y + 7y
= 6x + x + 3x + 7y - 2y
= (6x + x + 3x) + (7y - 2y)
= (6x + x + 3x) + 5y
= (6 + 1 + 3)x + 5y
= 10x + 5y
So, the equation remains the same.

Learn more about Commutative property of addition