What is the answer to 4/(x-8)= 5/x ?

The answer to 4/(x-8)= 5/x is x=40

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4/(x-8)= 5/x

\frac{4}{x - 8} = \frac{5}{x}

x = 40

Solution steps

\frac{4}{x - 8} = \frac{5}{x}

Cross multiply

4 x = 5 x - 40

Move

5 x

to the left side

- x = - 40

Divide both sides by

- 1

x = 40

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 0

Combine undefined points with solutions:

x = 40

\frac{8}{11} = \frac{3}{2 y}

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

2 m - \frac{9}{m} = 3

x^{- 2} + 4 x^{- 1} - 12 = 0

1 - \frac{1}{r - 2} = \frac{2}{r - 2}