What is the answer to 2/(x+1)= 5/(x-3) ?

The answer to 2/(x+1)= 5/(x-3) is x=-11/3

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2/(x+1)= 5/(x-3)

\frac{2}{x + 1} = \frac{5}{x - 3}

x = - \frac{11}{3}

Decimal Notation

x = - 3.66666 \dots

Solution steps

\frac{2}{x + 1} = \frac{5}{x - 3}

Cross multiply

2 x - 6 = 5 x + 5

Move

6

to the right side

2 x = 5 x + 11

Move

5 x

to the left side

- 3 x = 11

Divide both sides by

- 3

x = - \frac{11}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 3

Combine undefined points with solutions:

x = - \frac{11}{3}

\frac{2 x}{x ^{2} + 4} = 0

a, an = \frac{1}{2 n + 1}

\frac{1}{f} = 1729 \cdot 1 0^{- 8}

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

\frac{x ^{2} - x - 2}{x - 1} = 0

What is the answer to 2/(x+1)= 5/(x-3) ?
The answer to 2/(x+1)= 5/(x-3) is x=-11/3
Solve for x: 2/(x+1)= 5/(x-3)
The solution is x=-11/3