What is the answer to z/(z+15)= 4/9 ?

The answer to z/(z+15)= 4/9 is z=12

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z/(z+15)= 4/9

\frac{z}{z + 15} = \frac{4}{9}

z = 12

Solution steps

\frac{z}{z + 15} = \frac{4}{9}

Cross multiply

z \cdot 9 = 4 z + 60

Move

4 z

to the left side

5 z = 60

Divide both sides by

5

z = 12

Verify Solutions

Find undefined (singularity) points:

z = - 15

Combine undefined points with solutions:

z = 12

\frac{12}{x} = - 2

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

k, r = \frac{k}{k - 6}

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

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