What is the answer to (19)/x =4-1/x ?

The answer to (19)/x =4-1/x is x=5

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(19)/x =4-1/x

\frac{19}{x} = 4 - \frac{1}{x}

x = 5

Solution steps

\frac{19}{x} = 4 - \frac{1}{x}

Multiply both sides by

x

19 = 4 x - 1

Switch sides

4 x - 1 = 19

Move

1

to the right side

4 x = 20

Divide both sides by

4

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5

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

y = \frac{1}{y ^{2}}

6 \cdot 3 y = \frac{4}{y} - 8

0 = \frac{8}{x}

\frac{2}{x} \cdot + 9 = 5