Question

What is the value for the variable f in 17/3f−1=1
17
3
𝑓
−
1
=
1
?(1 point)
Responses

4
4

6
6

3
3

5

Answer 1

To solve the equation \( \frac{17}{3f} - 1 = 1 \), first, we can isolate the term with \( f \):

1. Add 1 to both sides:
\[
\frac{17}{3f} = 2
\]

2. Multiply both sides by \( 3f \) to eliminate the fraction:
\[
17 = 2 \cdot 3f
\]

3. Simplify the right side:
\[
17 = 6f
\]

4. Now, divide both sides by 6:
\[
f = \frac{17}{6}
\]

This means that \( f = \frac{17}{6} \), which does not match any of the provided response options (4, 6, 3, 5).

Please check the equation again or the answer choices. If the original equation was intended differently, please clarify that, and I can help solve the correct equation.