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

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

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

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

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

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

Cross multiply

x + 1 = 6 x - 2

Move

1

to the right side

x = 6 x - 3

Move

6 x

to the left side

- 5 x = - 3

Divide both sides by

- 5

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{3}{5}

\frac{1}{x + 1} + 2 = \frac{9}{x + 1}

2 x^{- 1} = 4

x, y = \frac{x + 3}{x - 2}

y, x = \frac{1}{3 y} - 7

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

What is the answer to 1/(3x-1)= 2/(x+1) ?
The answer to 1/(3x-1)= 2/(x+1) is x= 3/5
Solve for x: 1/(3x-1)= 2/(x+1)
The solution is x= 3/5