Final answer:
To solve (4/3)x - 1/3 = 9, add 1/3 to both sides, simplify, and then multiply by the reciprocal of 4/3. The value of 'x' is found to be 7 after simplification, which suggests a possible error in the provided options, with the closest being b) x = 28/3.
Step-by-step explanation:
To solve the equation (4/3)x - 1/3 = 9, we need to isolate the variable x. First, add 1/3 to both sides to eliminate the fraction on the left side.
(4/3)x = 9 + 1/3
This simplifies to:
(4/3)x = 28/3
Next, multiply both sides by the reciprocal of 4/3 to solve for x.
x = (28/3) / (4/3)
x = 28/3 × 3/4
x = 7
Therefore, the value of x is 7, which is not one of the options provided. However, it seems that option b) x = 28/3 might be the intended correct answer, as it represents the step before the final multiplication by 3/4 was performed.