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

The answer to -4/7 = 7/(x+4) is x=-65/4

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

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

x = - \frac{65}{4}

Decimal Notation

x = - 16.25

Solution steps

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

Cross multiply

- 4 (x + 4) = 49

Divide both sides by

- 4

x + 4 = - \frac{49}{4}

Move

4

to the right side

x = - \frac{65}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{65}{4}

n = \frac{36 0 ^{\circ}}{θ} - 1

\frac{2}{5} - \frac{4}{x} = - 2

n, I = \frac{n E}{R + n S}

\frac{8 x + 1}{x} = 3

\frac{5 x ^{2} + 6}{x ^{2}} = 0