Solve the equation.
\[
\frac{x}{3}+9=\frac{x}{3}
\]
Select the correct choice below and, if necessary, fill in any answer box to complete your answer.
A. The solution set is
B. The solution set is $\{x \mid x$ is a real number $\}$.
C. The solution set is $\varnothing$.

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The correct choice is C. The solution set is $\boxed{\varnothing}$.

Steps

Step 1 ：The equation is $\frac{x}{3}+9=\frac{x}{3}$.

Step 2 ：Subtract $\frac{x}{3}$ from both sides to isolate the variable x.

Step 3 ：This gives us the equation 9=0, which is not possible.

Step 4 ：Therefore, there are no values of x that satisfy the equation.

Step 5 ：Final Answer: The correct choice is C. The solution set is $\boxed{\varnothing}$.