What is the answer to (3-2)/(9b)= 1/(3b-7) ?

The answer to (3-2)/(9b)= 1/(3b-7) is b=-7/6

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(3-2)/(9b)= 1/(3b-7)

\frac{3 - 2}{9 b} = \frac{1}{3 b - 7}

b = - \frac{7}{6}

Decimal Notation

b = - 1.16666 \dots

Solution steps

\frac{3 - 2}{9 b} = \frac{1}{3 b - 7}

Cross multiply

3 b - 7 = 9 b

Move

7

to the right side

3 b = 9 b + 7

Move

9 b

to the left side

- 6 b = 7

Divide both sides by

- 6

b = - \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

b = 0, b = \frac{7}{3}

Combine undefined points with solutions:

b = - \frac{7}{6}

\frac{2}{w} = \frac{7}{w + 5}

b, a = \frac{3 b - 1}{3 b - 4}

\frac{5}{x + 1} = 3 - \frac{x}{x + 1}

a, r = \frac{a x + b}{a + b x}

\frac{x}{x - x} = 0

What is the answer to (3-2)/(9b)= 1/(3b-7) ?
The answer to (3-2)/(9b)= 1/(3b-7) is b=-7/6
Solve for b: (3-2)/(9b)= 1/(3b-7)
The solution is b=-7/6