3/x =9

Solution

\frac{3}{x} = 9

x = \frac{1}{3}

Solution steps

\frac{3}{x} = 9

Multiply both sides by

x

3 = 9 x

Switch sides

9 x = 3

Divide both sides by

9

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{5}{x - 3} - \frac{2}{x - 2} = 11

0 = \frac{2 x + 1}{x}

\frac{2 x - 7}{x} = \frac{x - 3}{4}

\frac{2}{x - 1} = \frac{5}{x}

\frac{x !}{( x - 2 ) !} = 30