What is the answer to 3/(x-19)=(19)/(x-3) ?

The answer to 3/(x-19)=(19)/(x-3) is x=22

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3/(x-19)=(19)/(x-3)

\frac{3}{x - 19} = \frac{19}{x - 3}

x = 22

Solution steps

\frac{3}{x - 19} = \frac{19}{x - 3}

Cross multiply

3 x - 9 = 19 x - 361

Move

9

to the right side

3 x = 19 x - 352

Move

19 x

to the left side

- 16 x = - 352

Divide both sides by

- 16

x = 22

Verify Solutions

Find undefined (singularity) points:

x = 19, x = 3

Combine undefined points with solutions:

x = 22

- \frac{9}{x - 9} - 1 = \frac{x}{x - 9}

\frac{3}{x ^{2} + 6 x - 24} = 1

\frac{x}{x ^{2} - 4} + \frac{1}{x + 2} = 3

\frac{x ^{2} - 1}{x - 3} = \frac{8}{x - 3}

k, t = p + \frac{x n}{k}

What is the answer to 3/(x-19)=(19)/(x-3) ?
The answer to 3/(x-19)=(19)/(x-3) is x=22
Solve for x: 3/(x-19)=(19)/(x-3)
The solution is x=22