Question

use the hanger balance to model and solve the equation $3(g + 1) = 9$. how can you get the expression $3g$ by itself on one side of the equation? subtract 3 on both sides. now isolate the variable. how can you get $g$ by itself on one side? ? ? on both sides. $3(g + 1) = 9$ $3g + 3 = 9$ $- 3 - 3$ $3g = 6$

Explanation:

Step1: Analyze the equation after previous step

We have the equation \( 3g = 6 \) (from \( 3g + 3 - 3=9 - 3 \)). To isolate \( g \), we need to perform an operation that will leave \( g \) alone on one side. Since \( 3g \) means \( 3\times g \), we use the inverse operation of multiplication, which is division.

Step2: Determine the operation and value

To get \( g \) by itself, we divide both sides of the equation \( 3g = 6 \) by 3. Mathematically, this is \( \frac{3g}{3}=\frac{6}{3} \), which simplifies to \( g = 2 \). So the operation is "Divide" and the value is "3".

Answer:

Divide, 3