What is the answer to 2/(x-1)= 3/(x+1) ?

The answer to 2/(x-1)= 3/(x+1) is x=5

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2/(x-1)= 3/(x+1)

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

x = 5

Solution steps

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

Cross multiply

2 x + 2 = 3 x - 3

Move

2

to the right side

2 x = 3 x - 5

Move

3 x

to the left side

- x = - 5

Divide both sides by

- 1

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 5

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

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

\frac{x - 2}{3 - x} = \frac{- 5}{4}

\frac{1}{x + 4} + 4 = \frac{21}{x + 4}

\frac{6}{6 b + 7} = \frac{2}{b - 7}