What is the answer to 4/x =-7/(x+1) ?

The answer to 4/x =-7/(x+1) is x=-4/11

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4/x =-7/(x+1)

\frac{4}{x} = - \frac{7}{x + 1}

x = - \frac{4}{11}

Decimal Notation

x = - 0.36363 \dots

Solution steps

\frac{4}{x} = - \frac{7}{x + 1}

Cross multiply

4 x + 4 = - x \cdot 7

Move

4

to the right side

4 x = - x \cdot 7 - 4

Move

x 7

to the left side

11 x = - 4

Divide both sides by

11

x = - \frac{4}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = - \frac{4}{11}

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

x, \frac{x + y}{x - y} = - 7

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

\frac{4}{15 x} = \frac{x}{15}

\frac{4}{6} = \frac{8}{x - 1}