What is the answer to 2/x = 9/(x-3) ?

The answer to 2/x = 9/(x-3) is x=-6/7

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2/x = 9/(x-3)

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

x = - \frac{6}{7}

Decimal Notation

x = - 0.85714 \dots

Solution steps

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

Cross multiply

2 x - 6 = x \cdot 9

Move

6

to the right side

2 x = x \cdot 9 + 6

Move

x 9

to the left side

- 7 x = 6

Divide both sides by

- 7

x = - \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - \frac{6}{7}

\frac{2 π}{x} = 4

\frac{1}{4 x + x} = \frac{- 3 + 1}{2 x}

\frac{2}{3 x + 15} = 17

\frac{3}{b + 1} = 5

a = \frac{b}{c}, c