Question

Given the property that justifies each step. 5(+3)=4(14-x)

a) Commutative Property
b) Distributive Property
c) Associative Property
d) Identity Property

Answer 1

The correct property that justifies each step in the equation 5(+3)=4(14-x) is the Distributive Property.

Step-by-step explanation:

The correct property that justifies each step in the equation 5(+3)=4(14-x) is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference inside parentheses, the number can be distributed or multiplied by each term inside the parentheses.

1. In this case, we can apply the Distributive Property by multiplying 5 by +3 and 5 by (14-x).
2. So, 5(+3) = 5 * 3 = 15, and 5(14-x) = 5 * 14 - 5 * x = 70 - 5x.

Therefore, the equation becomes 15 = 70 - 5x.