Question
Translate the sentence into an equation. Twice the difference of a number and 7 is 9 . Use the variable \( x \) for the unknown number.
Ask by Martinez Barnett. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation is \( 2(x - 7) = 9 \).
Solution
The phrase "the difference of a number and 7" can be expressed as (x - 7). "Twice" that difference means multiplying it by 2. Therefore, the equation is:
2(x - 7) = 9.
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Simplify this solution Beyond the Answer
The sentence "Twice the difference of a number and 7 is 9" can be translated into the equation \( 2(x - 7) = 9 \). Here, \( x \) represents the unknown number, and the expression \( x - 7 \) calculates the difference between that number and 7, which is then multiplied by 2 to give 9. To solve for \( x \), you would first distribute the 2, giving you \( 2x - 14 = 9 \). Then, add 14 to both sides to isolate the term with the variable, leading you to \( 2x = 23 \), and finally, divide by 2 to find \( x = 11.5 \).
