What is the answer to 2/(b+1)= 5/2 ?

The answer to 2/(b+1)= 5/2 is b=-1/5

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2/(b+1)= 5/2

\frac{2}{b + 1} = \frac{5}{2}

b = - \frac{1}{5}

Decimal Notation

b = - 0.2

Solution steps

\frac{2}{b + 1} = \frac{5}{2}

Cross multiply

4 = (b + 1) \cdot 5

Switch sides

(b + 1) \cdot 5 = 4

Divide both sides by

5

b + 1 = \frac{4}{5}

Move

1

to the right side

b = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

b = - 1

Combine undefined points with solutions:

b = - \frac{1}{5}

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

\frac{3}{x - 2} = \frac{5}{9 x - 2}

\frac{12}{x} + \frac{18}{x + 4} = 9

0.6 = \frac{x - 0.05 x - 34}{x}

\frac{x - 7}{x - 9} = \frac{3}{4}