To solve the equation \(\frac{w}{5} + 2 = 11\), we will follow these steps:
-
Subtract 2 from both sides to isolate the term with \(w\):
\[ \frac{w}{5} + 2 - 2 = 11 - 2 \]
This simplifies to:
\[ \frac{w}{5} = 9 \]
-
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.