What is the answer to 3/(3b+4)= 2/(b-4) ?

The answer to 3/(3b+4)= 2/(b-4) is b=-20/3

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3/(3b+4)= 2/(b-4)

\frac{3}{3 b + 4} = \frac{2}{b - 4}

b = - \frac{20}{3}

Decimal Notation

b = - 6.66666 \dots

Solution steps

\frac{3}{3 b + 4} = \frac{2}{b - 4}

Cross multiply

3 b - 12 = 6 b + 8

Move

12

to the right side

3 b = 6 b + 20

Move

6 b

to the left side

- 3 b = 20

Divide both sides by

- 3

b = - \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{4}{3}, b = 4

Combine undefined points with solutions:

b = - \frac{20}{3}

I, R = \frac{E}{I}

x^{- 2} + x^{- 1} - 30 = 0

30 x - 11 = \frac{30}{x}

\frac{1}{x} = 4

\frac{4}{x} = \frac{17}{8 x} + 3

What is the answer to 3/(3b+4)= 2/(b-4) ?
The answer to 3/(3b+4)= 2/(b-4) is b=-20/3
Solve for b: 3/(3b+4)= 2/(b-4)
The solution is b=-20/3