Question

Hi I’ve been struggling with these two problems for sometime now

Answer 1

The answer is Distributive property

SOLUTION

Problem Statement

We are given the mathematical statement below:

`5(x-3)=5x-15`

We are asked to find the property that justifies the above statement.

Solution

To solve this problem, we need to understand what the distributive property is.

The distributive property states:

`A(B+C)=AB+AC`

If A = 5, B = x and C = -3

Thus, applying the Distributive property on the left-hand side of the mathematical equation given:

`\begin{gathered} A(B+C)=AB+BC \\ 5(x-3)=5(x)+5(-3)_{} \\ =5x-15 \end{gathered}`

This conforms to the Distributive property

Final Answer

The answer is Distributive property