What is the answer to 1/3 = 5/b-3 ?

The answer to 1/3 = 5/b-3 is b= 3/2

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1/3 = 5/b-3

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

b = \frac{3}{2}

Decimal Notation

b = 1.5

Solution steps

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

Multiply by LCM

b = 15 - 9 b

Move

9 b

to the left side

10 b = 15

Divide both sides by

10

b = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{3}{2}

2 g (a) = \frac{5 x}{x ^{2} - 9}

x - \frac{6}{x} = 5

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

\frac{x}{78 + 24 + x} = \frac{1}{3}

\frac{4 \cdot ( 12 + y )}{4 - 2 y} = 12