What is the answer to (3x-1)/2 = 4/(x+1) ?

The answer to (3x-1)/2 = 4/(x+1) is x=(-1+2sqrt(7))/3 ,x=-(1+2sqrt(7))/3

Solve for x: (3x-1)/2 = 4/(x+1)

The solution is x=(-1+2sqrt(7))/3 ,x=-(1+2sqrt(7))/3

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

x = \frac{- 1 + 2 7}{3}, x = - \frac{1 + 2 7}{3}

Decimal Notation

x = 1.43050 \dots, x = - 2.09716 \dots

Solution steps

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

Cross multiply

(3 x - 1) (x + 1) = 8

Solve

(3 x - 1) (x + 1) = 8 : x = \frac{- 1 + 2 7}{3}, x = - \frac{1 + 2 7}{3}

x = \frac{- 1 + 2 7}{3}, x = - \frac{1 + 2 7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{- 1 + 2 7}{3}, x = - \frac{1 + 2 7}{3}

\frac{x + 3}{2 x + 6} = \frac{1}{2}

\frac{6}{x - 3} = \frac{5}{x + 4}

\frac{x - 4}{x + 6} = \frac{12}{18}

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

(x) = \frac{3 x + 2}{x + 3}

What is the answer to (3x-1)/2 = 4/(x+1) ?
The answer to (3x-1)/2 = 4/(x+1) is x=(-1+2sqrt(7))/3 ,x=-(1+2sqrt(7))/3
Solve for x: (3x-1)/2 = 4/(x+1)
The solution is x=(-1+2sqrt(7))/3 ,x=-(1+2sqrt(7))/3