What is the answer to 6/(6b+4)= 2/(b-4) ?

The answer to 6/(6b+4)= 2/(b-4) is b=-16/3

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6/(6b+4)= 2/(b-4)

\frac{6}{6 b + 4} = \frac{2}{b - 4}

b = - \frac{16}{3}

Decimal Notation

b = - 5.33333 \dots

Solution steps

\frac{6}{6 b + 4} = \frac{2}{b - 4}

Cross multiply

3 b - 12 = 6 b + 4

Move

12

to the right side

3 b = 6 b + 16

Move

6 b

to the left side

- 3 b = 16

Divide both sides by

- 3

b = - \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

b = - \frac{16}{3}

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

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

\frac{4}{x} = 12

\frac{3}{2 ( 4 x ^{2} - 20 x + 60 )} = 0

5 = (\frac{500}{500 + x}) 100

What is the answer to 6/(6b+4)= 2/(b-4) ?
The answer to 6/(6b+4)= 2/(b-4) is b=-16/3
Solve for b: 6/(6b+4)= 2/(b-4)
The solution is b=-16/3