Questions: Write an algebraic equation to represent the English sentence. (Let x represent the unknown number.) Thirteen is equal to the quotient of a number and five. The algebraic equation is . x=

Write an algebraic equation to represent the English sentence. (Let x represent the unknown number.) Thirteen is equal to the quotient of a number and five. The algebraic equation is . x=
Transcript text: Write an algebraic equation to represent the English sentence. (Let $x$ represent the unknown number.) Thirteen is equal to the quotient of a number and five. Part 1 of 2 The algebraic equation is $\square$ . Part 2 of 2 $x=$ $\square$
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Solution

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Solution Steps

Solution Approach
  1. Identify the unknown number in the sentence and represent it with \( x \).
  2. Translate the English sentence into an algebraic equation. The sentence "Thirteen is equal to the quotient of a number and five" can be written as \( 13 = \frac{x}{5} \).
  3. Solve the equation for \( x \) by isolating \( x \) on one side of the equation.
Step 1: Translate the English Sentence to an Algebraic Equation

The given sentence is "Thirteen is equal to the quotient of a number and five." This can be translated to the algebraic equation: \[ 13 = \frac{x}{5} \]

Step 2: Solve the Equation for \( x \)

To isolate \( x \), multiply both sides of the equation by 5: \[ 13 \times 5 = x \] \[ x = 65 \]

Final Answer

The value of \( x \) is: \[ \boxed{x = 65} \]

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