What is the answer to r/(r+6)= 9/5 ?

The answer to r/(r+6)= 9/5 is r=-27/2

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r/(r+6)= 9/5

\frac{r}{r + 6} = \frac{9}{5}

r = - \frac{27}{2}

Decimal Notation

r = - 13.5

Solution steps

\frac{r}{r + 6} = \frac{9}{5}

Cross multiply

r \cdot 5 = 9 r + 54

Move

9 r

to the left side

- 4 r = 54

Divide both sides by

- 4

r = - \frac{27}{2}

Verify Solutions

Find undefined (singularity) points:

r = - 6

Combine undefined points with solutions:

r = - \frac{27}{2}

p, \frac{10}{p} = 10

\frac{x}{( x + 6 )} = \frac{2}{5}

\frac{7}{z} = \frac{10}{25}

\frac{8 x ^{2} + 3 x - 2}{2 x - 1} = 4 x

\frac{15}{8} = \frac{6}{x}