What is the answer to 4/(4b+3)= 2/(b-3) ?

The answer to 4/(4b+3)= 2/(b-3) is b=-9/2

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4/(4b+3)= 2/(b-3)

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

b = - \frac{9}{2}

Decimal Notation

b = - 4.5

Solution steps

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

Cross multiply

4 b - 12 = 8 b + 6

Move

12

to the right side

4 b = 8 b + 18

Move

8 b

to the left side

- 4 b = 18

Divide both sides by

- 4

b = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

b = - \frac{9}{2}

2 = \frac{2}{m} - 7

\frac{5}{3 x - 2} = \frac{2}{x + 5}

\frac{3 x + 7}{x + 2} = 5

\frac{x + 9}{x - 1} = \frac{4}{x}

3 - \frac{1}{t} = \frac{2}{t ^{2}}

What is the answer to 4/(4b+3)= 2/(b-3) ?
The answer to 4/(4b+3)= 2/(b-3) is b=-9/2
Solve for b: 4/(4b+3)= 2/(b-3)
The solution is b=-9/2