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

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

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1/x = 2/(x+1)

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

x = 1

Solution steps

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

Cross multiply

x + 1 = x \cdot 2

Move

1

to the right side

x = x \cdot 2 - 1

Move

x 2

to the left side

- x = - 1

Divide both sides by

- 1

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = 1

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

\frac{10}{x ^{2} - 3 x + 5} = x + 1

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

u + 22 = 13 - \frac{18}{u}

1 - \frac{5}{x} = - 4 x