Fill in all missing terms and select all missing descriptions. Simplify any fractions.

Question

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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=
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1 Subtract 2u from both sides
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u=
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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
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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.