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

The answer to x/(x-3)= 1/3 is x=-3/2

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x/(x-3)= 1/3

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

x = - \frac{3}{2}

Solution steps

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

Cross multiply

x \cdot 3 = x - 3

Move

x

to the left side

2 x = - 3

Divide both sides by

2

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - \frac{3}{2}

1 + \frac{x}{x + 8} = - \frac{4}{x + 8}

\frac{25}{x} = \frac{x}{4}

\frac{7}{3 x + 4} = \frac{7}{6 x - 2}

\frac{3}{x} = 15

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