Question

Solve the rational equation for x and state all x values that are excluded from the solution set. If there is more than one excluded value then separate them with a comma and do not include any spaces. \frac{3}{x}-\frac{1}{3}=\frac{1}{6} Solving for x gives us x=AnswerThe value for x cannot equal Answer

Answer 1

We are given the following rational equation

$\frac{3}{x}-\frac{1}{3}=\frac{1}{6}$

As you can see, the value of x cannot be equal to 0 because it will make the fraction undefined.

Now, let us solve the equation

$\begin{gathered} \frac{3}{x}-\frac{1}{3}=\frac{1}{6} \\ \frac{3}{x}=\frac{1}{6}+\frac{1}{3} \\ \frac{3}{x}=\frac{1+2(1)}{6} \\ \frac{3}{x}=\frac{1+2}{6} \\ \frac{3}{x}=\frac{3}{6} \\ \frac{3}{x}=\frac{1}{2} \\ 3\cdot2=x\cdot1 \\ 6=x \\ x=6 \end{gathered}$

Therefore, the value of x is 6

The value for x cannot be equal to 0