What is the value for the variable f in 17/3f−1=1 ?(1 point) Responses 5 4 3 6

3 answers

To solve the equation \( \frac{17}{3f} - 1 = 1 \), follow these steps:

  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. Divide both sides by 6 to solve for \( f \):

    \[ f = \frac{17}{6} \]

The value of \( f \) is \( \frac{17}{6} \), which approximately equals 2.83.

Therefore, none of the provided responses (5, 4, 3, 6) are correct for the variable \( f \).

which one is the closest

Given that \( f = \frac{17}{6} \) is approximately equal to \( 2.83 \), the closest value from the options provided (5, 4, 3, 6) is 3.