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Answer :
To solve the problem, let's go step by step:
1. Understand the Problem: We are given a description that involves multiplying a number by nine and then subtracting six, which results in fifty-seven.
2. Define the Unknown: Let's call the unknown number [tex]\( n \)[/tex].
3. Translate into an Equation: According to the problem, multiplying [tex]\( n \)[/tex] by nine is written as [tex]\( 9n \)[/tex]. Then, subtracting six from this expression is written as [tex]\( 9n - 6 \)[/tex].
4. Set Up the Equation: Based on the statement "the result is fifty-seven," we can set up the equation:
[tex]\[
9n - 6 = 57
\][/tex]
5. Select the Correct Option: The equation [tex]\( 9n - 6 = 57 \)[/tex] matches with the second option provided: [tex]\( 9n-6=57 \)[/tex].
Therefore, the correct equation is:
[tex]\[ 9n - 6 = 57 \][/tex]
1. Understand the Problem: We are given a description that involves multiplying a number by nine and then subtracting six, which results in fifty-seven.
2. Define the Unknown: Let's call the unknown number [tex]\( n \)[/tex].
3. Translate into an Equation: According to the problem, multiplying [tex]\( n \)[/tex] by nine is written as [tex]\( 9n \)[/tex]. Then, subtracting six from this expression is written as [tex]\( 9n - 6 \)[/tex].
4. Set Up the Equation: Based on the statement "the result is fifty-seven," we can set up the equation:
[tex]\[
9n - 6 = 57
\][/tex]
5. Select the Correct Option: The equation [tex]\( 9n - 6 = 57 \)[/tex] matches with the second option provided: [tex]\( 9n-6=57 \)[/tex].
Therefore, the correct equation is:
[tex]\[ 9n - 6 = 57 \][/tex]
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