What is the answer to 4/(x-13)= 9/(x+13) ?

The answer to 4/(x-13)= 9/(x+13) is x= 169/5

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4/(x-13)= 9/(x+13)

\frac{4}{x - 13} = \frac{9}{x + 13}

x = \frac{169}{5}

Decimal Notation

x = 33.8

Solution steps

\frac{4}{x - 13} = \frac{9}{x + 13}

Cross multiply

4 x + 52 = 9 x - 117

Move

52

to the right side

4 x = 9 x - 169

Move

9 x

to the left side

- 5 x = - 169

Divide both sides by

- 5

x = \frac{169}{5}

Verify Solutions

Find undefined (singularity) points:

x = 13, x = - 13

Combine undefined points with solutions:

x = \frac{169}{5}

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

2 x - \frac{2}{x} = 0

- 1 - \frac{5}{x} = - 6 x

\frac{3}{x + 1} - \frac{1}{x ^{2} - 1} = 0

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

What is the answer to 4/(x-13)= 9/(x+13) ?
The answer to 4/(x-13)= 9/(x+13) is x= 169/5
Solve for x: 4/(x-13)= 9/(x+13)
The solution is x= 169/5