What is the answer to 5/b = 3/(b-6) ?

The answer to 5/b = 3/(b-6) is b=15

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5/b = 3/(b-6)

\frac{5}{b} = \frac{3}{b - 6}

b = 15

Solution steps

\frac{5}{b} = \frac{3}{b - 6}

Cross multiply

5 b - 30 = b \cdot 3

Move

30

to the right side

5 b = b \cdot 3 + 30

Move

b 3

to the left side

2 b = 30

Divide both sides by

2

b = 15

Verify Solutions

Find undefined (singularity) points:

b = 0, b = 6

Combine undefined points with solutions:

b = 15

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

\frac{2}{5} = \frac{8}{x}

\frac{3}{3 b + 5} = \frac{2}{b - 5}

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

\frac{24}{x} = 0