Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
w/5
+2=11
w/5
=
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Apply the distributive property
w=

Answer 1

To solve the equation \(\frac{w}{5} + 2 = 11\), we will follow these steps:

1. **Subtract 2 from both sides** to isolate the term with \(w\):

\[
\frac{w}{5} + 2 - 2 = 11 - 2
\]

This simplifies to:

\[
\frac{w}{5} = 9
\]

2. **Multiply both sides by 5** to solve for \(w\):

\[
5 \cdot \frac{w}{5} = 9 \cdot 5
\]

This gives:

\[
w = 45
\]

Now, we can fill in the missing terms and descriptions:

- Missing term 1: \(\frac{w}{5} = 9\)
- Missing term 2: \(w = 45\)

### Fill in the missing descriptions:
- **Add 2 to both sides**: This is incorrect; we actually **subtract 2 from both sides** in the first step.
- **Subtract 2 from both sides**: This is correct.
- **Multiply both sides by 5**: This is correct (not by 2).
- **Divide both sides by 2**: This is incorrect; we don't divide by 2 in this process.
- **Apply the distributive property**: This is also incorrect; we don’t use the distributive property in this equation.

### Final Answers:
- \(\frac{w}{5} = 9\)
- \(w = 45\)
- **Subtract 2 from both sides**
- **Multiply both sides by 5**

This provides a complete and correct solution to the equation.