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

The answer to (b+1)/b =-3 is b=-1/4

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(b+1)/b =-3

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

b = - \frac{1}{4}

Decimal Notation

b = - 0.25

Solution steps

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

Multiply both sides by

b

b + 1 = - 3 b

Move

1

to the right side

b = - 3 b - 1

Move

3 b

to the left side

4 b = - 1

Divide both sides by

4

b = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = - \frac{1}{4}

t, g = 2 \frac{h}{t ^{2}}

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

x^{2} + (\frac{1}{x ^{2}}) = 27

\frac{( 4 x - 1 )}{( 2 x )} = 5

\frac{( x - 1 )}{2 - ( x + 1 ) \cdot 0.3} = 3