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

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

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x/(x+3)= 2/9

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

x = \frac{6}{7}

Decimal Notation

x = 0.85714 \dots

Solution steps

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

Cross multiply

x \cdot 9 = 2 x + 6

Move

2 x

to the left side

7 x = 6

Divide both sides by

7

x = \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{6}{7}

\frac{2 x}{( x ^{2} + 1 ) ^{2}} = 0

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

\frac{14}{3 y + 5} = \frac{3}{y}

\frac{4}{x} = - \frac{7}{x + 1}

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