What is the answer to 2/(x-4)= 5/(x+9) ?

The answer to 2/(x-4)= 5/(x+9) is x= 38/3

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2/(x-4)= 5/(x+9)

\frac{2}{x - 4} = \frac{5}{x + 9}

x = \frac{38}{3}

Decimal Notation

x = 12.66666 \dots

Solution steps

\frac{2}{x - 4} = \frac{5}{x + 9}

Cross multiply

2 x + 18 = 5 x - 20

Move

18

to the right side

2 x = 5 x - 38

Move

5 x

to the left side

- 3 x = - 38

Divide both sides by

- 3

x = \frac{38}{3}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 9

Combine undefined points with solutions:

x = \frac{38}{3}

r, r = \frac{c}{1 - r}

\frac{2 x ^{4} + 6}{x ^{4}} = 0

\frac{2 x}{5 - x} = \frac{15 - 2 x}{x}

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

\frac{1}{4} + \frac{3}{x + 7} = 1

What is the answer to 2/(x-4)= 5/(x+9) ?
The answer to 2/(x-4)= 5/(x+9) is x= 38/3
Solve for x: 2/(x-4)= 5/(x+9)
The solution is x= 38/3