What is the answer to (11)/(b-1)= 6/(b+1) ?

The answer to (11)/(b-1)= 6/(b+1) is b=-17/5

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(11)/(b-1)= 6/(b+1)

\frac{11}{b - 1} = \frac{6}{b + 1}

b = - \frac{17}{5}

Decimal Notation

b = - 3.4

Solution steps

\frac{11}{b - 1} = \frac{6}{b + 1}

Cross multiply

11 b + 11 = 6 b - 6

Move

11

to the right side

11 b = 6 b - 17

Move

6 b

to the left side

5 b = - 17

Divide both sides by

5

b = - \frac{17}{5}

Verify Solutions

Find undefined (singularity) points:

b = 1, b = - 1

Combine undefined points with solutions:

b = - \frac{17}{5}

\frac{5}{x - 5} = \frac{x}{x - 5} - 1

x = \frac{2}{x}

\frac{121 - 2 x}{x} = \frac{5}{3}

\frac{1}{a x} + 7 = 25

\frac{280}{x + 2} = 20 + 2.5 x

What is the answer to (11)/(b-1)= 6/(b+1) ?
The answer to (11)/(b-1)= 6/(b+1) is b=-17/5
Solve for b: (11)/(b-1)= 6/(b+1)
The solution is b=-17/5