Question

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

34
Start Fraction 3 over 4 End Fraction

−113
negative Start Fraction 11 over 3 End Fraction

−1112
negative Start Fraction 11 over 12 End Fraction

3

Answer 1

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

1. Start by isolating the term involving \( x \):
\[
-2x = \frac{1}{6} - \frac{5}{3}
\]

2. To subtract the fractions, find a common denominator. The least common multiple of 6 and 3 is 6:
\[
-2x = \frac{1}{6} - \frac{5 \times 2}{3 \times 2} = \frac{1}{6} - \frac{10}{6}
\]

3. Now perform the subtraction:
\[
-2x = \frac{1 - 10}{6} = \frac{-9}{6}
\]

4. Simplify:
\[
-2x = \frac{-3}{2}
\]

5. Divide both sides by -2:
\[
x = \frac{-3/2}{-2} = \frac{-3}{-4} = \frac{3}{4}
\]

Thus, the solution to the equation is \( \frac{3}{4} \).

So, the correct response is **Start Fraction 3 over 4 End Fraction**.