What is the answer to 4/x = 9/(x-2) ?

The answer to 4/x = 9/(x-2) is x=-8/5

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4/x = 9/(x-2)

\frac{4}{x} = \frac{9}{x - 2}

x = - \frac{8}{5}

Decimal Notation

x = - 1.6

Solution steps

\frac{4}{x} = \frac{9}{x - 2}

Cross multiply

4 x - 8 = x \cdot 9

Move

8

to the right side

4 x = x \cdot 9 + 8

Move

x 9

to the left side

- 5 x = 8

Divide both sides by

- 5

x = - \frac{8}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = - \frac{8}{5}

\frac{x}{x - 3} = \frac{x}{x - 3} + 9

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

\frac{4}{3} = \frac{8}{v - 2}

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

y, x = \frac{8}{y}