What property justifies that 3y+9 = 9+3y
3y + 9 = 9 + 3y
Commutative Property
For addition, the rule is
a + b = b + a
in numbers, this means 2 + 3 = 3 + 2
What property justifies:
6a+(2a+8b)
The property that justifies that 3y + 9 = 9 + 3y is the commutative property of addition. According to the commutative property, the order of the terms in an addition operation can be rearranged without changing the sum.
To prove that the equation 3y + 9 = 9 + 3y satisfies the commutative property, we can show that both sides of the equation are equal.
Starting with the left side of the equation:
3y + 9
Now, we can rearrange the terms using the commutative property:
9 + 3y
We can see that the left side of the equation has been transformed into the right side, which means that the commutative property holds true for this equation.
In conclusion, the commutative property of addition justifies that 3y + 9 = 9 + 3y.