1/x =0.1

Solution

\frac{1}{x} = 0.1

x = 10

Solution steps

\frac{1}{x} = 0.1

Multiply both sides by

x

1 = 0.1 x

Switch sides

0.1 x = 1

Divide both sides by

0.1

x = 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 10

2 = x^{- 1}

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

2 + \frac{3}{x} = \frac{11}{4}

\frac{5}{x} + \frac{x}{3} = 4

\frac{5}{x + 3} + \frac{4}{x + 2} = 2