What is the answer to 1/x = 3/(x-8) ?

The answer to 1/x = 3/(x-8) is x=-4

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1/x = 3/(x-8)

\frac{1}{x} = \frac{3}{x - 8}

x = - 4

Solution steps

\frac{1}{x} = \frac{3}{x - 8}

Cross multiply

x - 8 = x \cdot 3

Move

8

to the right side

x = x \cdot 3 + 8

Move

x 3

to the left side

- 2 x = 8

Divide both sides by

- 2

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 8

Combine undefined points with solutions:

x = - 4

7 = \frac{40}{z} - 1

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

\frac{90}{p} - 2 = p - 1

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

20 = \frac{40}{z}