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