Question

Select the correct choice below and fill in any answer boxes in your choice

Answer 1

We have the next equation

$\frac{1}{2}+\frac{4}{x}=\frac{5}{6}$

We will subtract 1/2 on both sides

$\frac{1}{2}+\frac{4}{x}-\frac{1}{2}=\frac{5}{6}-\frac{1}{2}$$\frac{4}{x}=\frac{5}{6}-\frac{1}{2}$$\frac{4}{x}=\frac{1}{3}$

then we multiply x on both sides

$\frac{4x}{x}=\frac{x}{3}$$4=\frac{x}{3}$

then we multiply 3 on both sides

$4(3)=\frac{x(3)}{3}$$12=x$

As we can see the solution is x=12

The solution set is {12}