2/x = 1/3

Solution

\frac{2}{x} = \frac{1}{3}

x = 6

Solution steps

\frac{2}{x} = \frac{1}{3}

Cross multiply

6 = x

Switch sides

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

(x + \frac{1}{x})^{2} = 9

\frac{1}{x + 1} + 4 = \frac{17}{x + 1}

x^{3} - 2 x^{2} - x + 2 = \frac{1}{x + 1}

\frac{2}{3 ( 3 x + 9 )} = - 2 (2 x + 6)

\frac{x}{5 x + 2} = 4 x - 9