What is the answer to 5/(3+b)= 3/(7b+1) ?

The answer to 5/(3+b)= 3/(7b+1) is b= 1/8

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5/(3+b)= 3/(7b+1)

\frac{5}{3 + b} = \frac{3}{7 b + 1}

b = \frac{1}{8}

Decimal Notation

b = 0.125

Solution steps

\frac{5}{3 + b} = \frac{3}{7 b + 1}

Cross multiply

35 b + 5 = 9 + 3 b

Move

5

to the right side

35 b = 3 b + 4

Move

3 b

to the left side

32 b = 4

Divide both sides by

32

b = \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

b = - 3, b = - \frac{1}{7}

Combine undefined points with solutions:

b = \frac{1}{8}

\frac{3}{x - 2} = \frac{7}{4 x - 8}

- \frac{3}{x + 3} - 4 = \frac{x}{x + 3}

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

\frac{2 x + 3}{x - 6} = \frac{5 x - 1}{4 x + 7}

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

What is the answer to 5/(3+b)= 3/(7b+1) ?
The answer to 5/(3+b)= 3/(7b+1) is b= 1/8
Solve for b: 5/(3+b)= 3/(7b+1)
The solution is b= 1/8