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

The answer to 7/(7b+6)= 2/(b-6) is b=-54/7

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

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

b = - \frac{54}{7}

Decimal Notation

b = - 7.71428 \dots

Solution steps

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

Cross multiply

7 b - 42 = 14 b + 12

Move

42

to the right side

7 b = 14 b + 54

Move

14 b

to the left side

- 7 b = 54

Divide both sides by

- 7

b = - \frac{54}{7}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

b = - \frac{54}{7}

\frac{1}{3 x - 4} = x^{2}

\frac{2}{y} = \frac{9}{24}

\frac{10 x ^{2}}{x ^{4} + 25} = 1

\frac{1}{2} = \frac{b ^{10}}{b}

743.9 = \frac{3.842}{x}

What is the answer to 7/(7b+6)= 2/(b-6) ?
The answer to 7/(7b+6)= 2/(b-6) is b=-54/7
Solve for b: 7/(7b+6)= 2/(b-6)
The solution is b=-54/7