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

Question

Responses

−11/3
negative Start Fraction 11 over 3 End Fraction

3
3

3/4
Start Fraction 3 over 4 End Fraction

−11/12

Answer 1

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

1. Start with the equation: \[ \frac{5}{3} - 2x = \frac{1}{6} \]

2. Subtract \(\frac{5}{3}\) from both sides: \[ -2x = \frac{1}{6} - \frac{5}{3} \]

3. To perform the subtraction, convert \(\frac{5}{3}\) to a fraction with a denominator of 6: \[ \frac{5}{3} = \frac{10}{6} \]

   Now the equation becomes: \[ -2x = \frac{1}{6} - \frac{10}{6} = \frac{1 - 10}{6} = \frac{-9}{6} = -\frac{3}{2} \]

4. Now we can solve for \(x\): \[ -2x = -\frac{3}{2} \] Divide both sides by -2: \[ x = \frac{-\frac{3}{2}}{-2} = \frac{3}{4} \]

Thus, the solution to the equation \( \frac{5}{3} - 2x = \frac{1}{6} \) is \[ \frac{3}{4} \]

The correct response from the options provided is: \[ \frac{3}{4} \]