Question

use properties of operations to complete the equivalent expression.
18c - 3y = 3(\underline{quad}c - \underline{quad}y)
18c - 3y = 3(\square c - \square y)

Explanation:

Step1: Recall Distributive Property

The distributive property states that \(a(b - c)=ab - ac\). Here, we need to reverse it: \(ab - ac=a(b - c)\). For the left side \(18c-3y\), we factor out 3.

Step2: Find the Missing Terms

For the term with \(c\): \(18c\div3 = 6c\), so the first box (for \(c\)) is 6. For the term with \(y\): \(3y\div3 = y\), so the second box (for \(y\)) is 1. So \(18c - 3y=3(6c - y)\).

Answer:

The first box is \(6\) and the second box is \(1\), so the completed expression is \(18c - 3y = 3(6c - y)\)