What is the answer to (15)/(x-4)= 9/x ?

The answer to (15)/(x-4)= 9/x is x=-6

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(15)/(x-4)= 9/x

\frac{15}{x - 4} = \frac{9}{x}

x = - 6

Solution steps

\frac{15}{x - 4} = \frac{9}{x}

Cross multiply

15 x = 9 x - 36

Move

9 x

to the left side

6 x = - 36

Divide both sides by

6

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = - 6

\frac{45}{x - 14} = 22

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

\frac{2 x - 3}{3 x + 5} = \frac{2}{5}

\frac{x - 8}{n - 10} = \frac{n}{x}

a^{- 2} = 4