Question

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

Explanation:

Step1: Start with the equation

We have the equation \( 3(g + 1)=9 \).

Step2: Divide both sides by 3

Dividing both sides by 3 gives \( \frac{3(g + 1)}{3}=\frac{9}{3} \), which simplifies to \( g + 1 = 3 \).

Step3: Subtract 1 from both sides

Subtracting 1 from both sides: \( g + 1 - 1 = 3 - 1 \), so \( g = 2 \).

Answer:

\( g = 2 \)