Question

Question

What is the solution of the equation 5/3−2x=1/6
?(1 point)
Responses

−1112
negative Start Fraction 11 over 12 End Fraction

−113
negative Start Fraction 11 over 3 End Fraction

3
3

34

Answer 1

To solve the equation \( \frac{5}{3} - 2x = \frac{1}{6} \), we can follow these steps:

1. Eliminate Fractions: Multiply the entire equation by 6 (the least common multiple of the denominators 3 and 6) to eliminate the fractions.

   \[ 6\left(\frac{5}{3}\right) - 6(2x) = 6\left(\frac{1}{6}\right) \]

   This simplifies to:

   \[ 12 - 12x = 1 \]

2. Isolate the Variable: Rearrange the equation to isolate \( -12x \):

   \[ -12x = 1 - 12 \]

   \[ -12x = -11 \]

3. Solve for \( x \): Divide both sides by -12:

   \[ x = \frac{-11}{-12} = \frac{11}{12} \]

Therefore, the solution to the equation \( \frac{5}{3} - 2x = \frac{1}{6} \) is

\[ x = \frac{11}{12} \]

So the correct answer is:

11/12 (positive)