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

Responses

−113
negative Start Fraction 11 over 3 End Fraction

−1112
negative Start Fraction 11 over 12 End Fraction

34
Start Fraction 3 over 4 End Fraction

3

1 answer

To solve the equation 5/3 - 2x = 1/6, we can start by subtracting 5/3 from both sides:

-2x = 1/6 - 5/3.

Next, we need to find a common denominator for the fractions on the right side of the equation. The common denominator for 6 and 3 is 6, so we can rewrite the equation as:

-2x = 1/6 - 10/6.

Now that the fractions have the same denominator, we can combine them:

-2x = -9/6.

To isolate x, we can divide both sides of the equation by -2:

x = (-9/6) / (-2).

Simplifying the right side of the equation:

x = (-9/6) * (-1/2).

Multiplying the numerators and the denominators:

x = 9/12.

Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor (3):

x = 3/4.

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4. Answer: 34, Start Fraction 3 over 4 End Fraction