What is the answer to 6/(6b+7)= 2/(b-7) ?

The answer to 6/(6b+7)= 2/(b-7) is b=-28/3

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6/(6b+7)= 2/(b-7)

\frac{6}{6 b + 7} = \frac{2}{b - 7}

b = - \frac{28}{3}

Decimal Notation

b = - 9.33333 \dots

Solution steps

\frac{6}{6 b + 7} = \frac{2}{b - 7}

Cross multiply

6 b - 42 = 12 b + 14

Move

42

to the right side

6 b = 12 b + 56

Move

12 b

to the left side

- 6 b = 56

Divide both sides by

- 6

b = - \frac{28}{3}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{7}{6}, b = 7

Combine undefined points with solutions:

b = - \frac{28}{3}

0 = \frac{4}{x ^{2} + 1}

\frac{11}{x} = 11

y, y^{- 3} = x

\frac{4}{x} + \frac{6}{x + 2} = 0

\frac{x ^{2} - 1}{x + 1} = 1

What is the answer to 6/(6b+7)= 2/(b-7) ?
The answer to 6/(6b+7)= 2/(b-7) is b=-28/3
Solve for b: 6/(6b+7)= 2/(b-7)
The solution is b=-28/3