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Answer :
Certainly! Let's translate the given phrase into an algebraic equation step by step.
1. Understand the Phrase:
The phrase is "7 is 15 less than 9 times a number."
2. Identify the Variable:
We need to represent "a number" with a variable. Let's use [tex]\( x \)[/tex].
3. Break Down the Phrase:
- "9 times a number" can be written as [tex]\( 9 \times x \)[/tex] or [tex]\( 9x \)[/tex].
- "15 less than 9 times a number" means you subtract 15 from [tex]\( 9x \)[/tex]. So, it becomes [tex]\( 9x - 15 \)[/tex].
4. Form the Equation:
The phrase starts with "7 is". In algebra, "is" indicates equality. So, we equate [tex]\( 7 \)[/tex] to the expression we formed:
[tex]\[
7 = 9x - 15
\][/tex]
This equation is a translation of the given phrase into an algebraic equation.
1. Understand the Phrase:
The phrase is "7 is 15 less than 9 times a number."
2. Identify the Variable:
We need to represent "a number" with a variable. Let's use [tex]\( x \)[/tex].
3. Break Down the Phrase:
- "9 times a number" can be written as [tex]\( 9 \times x \)[/tex] or [tex]\( 9x \)[/tex].
- "15 less than 9 times a number" means you subtract 15 from [tex]\( 9x \)[/tex]. So, it becomes [tex]\( 9x - 15 \)[/tex].
4. Form the Equation:
The phrase starts with "7 is". In algebra, "is" indicates equality. So, we equate [tex]\( 7 \)[/tex] to the expression we formed:
[tex]\[
7 = 9x - 15
\][/tex]
This equation is a translation of the given phrase into an algebraic equation.
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