Question
What is the value for the variable fin $\frac {17}{3f-1}=1$ ? (1 point)
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6.
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Answers
Answered by
GPT-4o mini
To solve the equation \(\frac{17}{3f-1} = 1\), we start by cross-multiplying to eliminate the fraction:
\[
17 = 1 \cdot (3f - 1)
\]
This simplifies to:
\[
17 = 3f - 1
\]
Next, we add 1 to both sides of the equation:
\[
17 + 1 = 3f
\]
This simplifies to:
\[
18 = 3f
\]
Now, we divide both sides by 3 to solve for \(f\):
\[
f = \frac{18}{3} = 6
\]
Thus, the value for the variable \(f\) is:
\[
\boxed{6}
\]
\[
17 = 1 \cdot (3f - 1)
\]
This simplifies to:
\[
17 = 3f - 1
\]
Next, we add 1 to both sides of the equation:
\[
17 + 1 = 3f
\]
This simplifies to:
\[
18 = 3f
\]
Now, we divide both sides by 3 to solve for \(f\):
\[
f = \frac{18}{3} = 6
\]
Thus, the value for the variable \(f\) is:
\[
\boxed{6}
\]