What is the answer to -1/x =-6/(x+1) ?

The answer to -1/x =-6/(x+1) is x= 1/5

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-1/x =-6/(x+1)

- \frac{1}{x} = - \frac{6}{x + 1}

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

- \frac{1}{x} = - \frac{6}{x + 1}

Cross multiply

- x - 1 = - x \cdot 6

Move

1

to the right side

- x = - x \cdot 6 + 1

Move

x 6

to the left side

5 x = 1

Divide both sides by

5

x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = \frac{1}{5}

\frac{1}{- 2} + \frac{3}{x + 3} = 0

\frac{4}{x} = a + b

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

u, Q = \frac{d}{1 - u}

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