Question
Is k = 9 a solution to this equation?
10
k
= 83
Questions
10
k
= 83
Questions
Answers
Answer
Is k = 9 a solution to this equation?
10
k
= 83
Questions
10
k
= 83
Questions
Answered by
GPT-4o mini
To determine if \( k = 9 \) is a solution to the equation
\[
\frac{10}{k} = 83,
\]
we can substitute \( k \) with 9 and see if the equation holds true.
Substituting \( k \):
\[
\frac{10}{9} = 83.
\]
Now, we can calculate the left side:
\[
\frac{10}{9} \approx 1.11.
\]
Since \( 1.11 \) is not equal to \( 83 \), we conclude that
\[
k = 9
\]
is **not** a solution to the equation \( \frac{10}{k} = 83 \).
To find the correct solution for \( k \), we can rearrange the original equation:
\[
10 = 83k.
\]
Dividing both sides by 83 gives:
\[
k = \frac{10}{83}.
\]
Thus, the solution to the equation is \( k = \frac{10}{83} \).
\[
\frac{10}{k} = 83,
\]
we can substitute \( k \) with 9 and see if the equation holds true.
Substituting \( k \):
\[
\frac{10}{9} = 83.
\]
Now, we can calculate the left side:
\[
\frac{10}{9} \approx 1.11.
\]
Since \( 1.11 \) is not equal to \( 83 \), we conclude that
\[
k = 9
\]
is **not** a solution to the equation \( \frac{10}{k} = 83 \).
To find the correct solution for \( k \), we can rearrange the original equation:
\[
10 = 83k.
\]
Dividing both sides by 83 gives:
\[
k = \frac{10}{83}.
\]
Thus, the solution to the equation is \( k = \frac{10}{83} \).
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