Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
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17u+11+18u=2u–1
u+11=2u–1
Add -17u to both sides
Add -17u to both sides
Subtract -17u from both sides
Multiply both sides by -17u
Divide both sides by -17u
Combine like terms
+11=
–
1 Subtract 2u from both sides
–
u=
–
12
Subtract 11 from both sides
Add 11 to both sides
Subtract 11 from both sides
Multiply both sides by 11
Divide both sides by 11
Apply the distributive property
u=
Divide both sides by
–
1

Answer 1

Let's fill in the missing terms and select the appropriate descriptions step-by-step for the equation provided.

### Original Equation:
\[ 17u + 11 + 18u = 2u - 1 \]

### Step-by-Step Analysis:

1. **Combine Like Terms on the Left Side:**
\[ 35u + 11 = 2u - 1 \]
**Description:** Combine like terms.

2. **Subtract 2u from Both Sides:**
\[ 35u - 2u + 11 = -1 \]
\[ 33u + 11 = -1 \]
**Description:** Subtract 2u from both sides.

3. **Subtract 11 from Both Sides:**
\[ 33u = -1 - 11 \]
\[ 33u = -12 \]
**Description:** Subtract 11 from both sides.

4. **Divide Both Sides by 33:**
\[ u = \frac{-12}{33} \]
**Description:** Divide both sides by 33.

5. **Simplify the Fraction:**
\[ u = \frac{-4}{11} \]
**Description:** Simplifying the fraction.

### Summary of Missing Terms and Descriptions:
- Combine like terms yields \( 35u + 11 \)
- After subtracting \( 2u \), we have \( 33u + 11 = -1 \)
- After subtracting \( 11 \), we get \( 33u = -12 \)
- Then, dividing by \( 33 \) gives \( u = \frac{-12}{33} \)
- Finally, simplifying gives \( u = \frac{-4}{11} \)

### Complete Missing Terms:
1. \( + 11 = -1 \)
2. \( - 12 \) after simplifying \( -1 - 11 \)
3. \( u = \frac{-12}{33} \)
4. \( 33 \) as the denominator in the division.

This results in the final simplified equation:
\[ u = \frac{-4}{11} \]

Now you have all required missing terms and descriptions filled correctly.