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

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

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

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

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