What is the answer to 9/(x+9)= 4/(x-1) ?

The answer to 9/(x+9)= 4/(x-1) is x=9

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9/(x+9)= 4/(x-1)

\frac{9}{x + 9} = \frac{4}{x - 1}

x = 9

Solution steps

\frac{9}{x + 9} = \frac{4}{x - 1}

Cross multiply

9 x - 9 = 4 x + 36

Move

9

to the right side

9 x = 4 x + 45

Move

4 x

to the left side

5 x = 45

Divide both sides by

5

x = 9

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 1

Combine undefined points with solutions:

x = 9

x, - \frac{3}{x} + y = 15

\frac{p - 5}{p + 1} = \frac{2}{3}

z + \frac{10}{z} = 6

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

\frac{5}{x} = \frac{15}{x + 20}