Questions: Translate the sentence into an equation. Two less than product of 3 and a number is equal to 9. Use the variable w for the unknown number.

Translate the sentence into an equation. Two less than product of 3 and a number is equal to 9. Use the variable w for the unknown number.
Transcript text: Translate the sentence into an equation. Two less than product of 3 and a number is equal to 9 . Use the variable $w$ for the unknown number.
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Solution

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Solution Steps

To translate the sentence into an equation, identify the mathematical operations described:

  1. "Product of 3 and a number" translates to \(3w\).
  2. "Two less than" means subtract 2 from the product.
  3. The result is equal to 9.

Thus, the equation is \(3w - 2 = 9\).

Step 1: Define the Variable and Equation

We start by defining the variable \( w \) and translating the given sentence into a mathematical equation. The sentence "Two less than product of 3 and a number is equal to 9" translates to: \[ 3w - 2 = 9 \]

Step 2: Solve the Equation

Next, we solve the equation for \( w \): \[ 3w - 2 = 9 \] Add 2 to both sides: \[ 3w = 11 \] Divide both sides by 3: \[ w = \frac{11}{3} \]

Final Answer

\(\boxed{w = \frac{11}{3}}\)

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