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

The answer to 3/(2b-1)= 2/(b+2) is b=8

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3/(2b-1)= 2/(b+2)

\frac{3}{2 b - 1} = \frac{2}{b + 2}

b = 8

Solution steps

\frac{3}{2 b - 1} = \frac{2}{b + 2}

Cross multiply

3 b + 6 = 4 b - 2

Move

6

to the right side

3 b = 4 b - 8

Move

4 b

to the left side

- b = - 8

Divide both sides by

- 1

b = 8

Verify Solutions

Find undefined (singularity) points:

b = \frac{1}{2}, b = - 2

Combine undefined points with solutions:

b = 8

\frac{4}{x ^{2}} + \frac{5}{x} = - 1

\frac{x}{x - 9} + 7 = \frac{9}{x - 9}

0.2 = \frac{2.8 x}{0.4 x ^{2} + 1.3}

\frac{x + 7}{x - 1} = \frac{3}{x}

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

What is the answer to 3/(2b-1)= 2/(b+2) ?
The answer to 3/(2b-1)= 2/(b+2) is b=8
Solve for b: 3/(2b-1)= 2/(b+2)
The solution is b=8