What is the answer to 2/(v+6)= 14/10 ?

The answer to 2/(v+6)= 14/10 is v=-32/7

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2/(v+6)= 14/10

\frac{2}{v + 6} = \frac{14}{10}

v = - \frac{32}{7}

Decimal Notation

v = - 4.57142 \dots

Solution steps

\frac{2}{v + 6} = \frac{14}{10}

Cross multiply

20 = (v + 6) \cdot 14

Switch sides

(v + 6) \cdot 14 = 20

Divide both sides by

14

v + 6 = \frac{10}{7}

Move

6

to the right side

v = - \frac{32}{7}

Verify Solutions

Find undefined (singularity) points:

v = - 6

Combine undefined points with solutions:

v = - \frac{32}{7}

\frac{15}{5} = \frac{20}{x}

\frac{4}{6} = \frac{2}{x}

\frac{100}{x} = 2

\frac{1}{x - 3} + 4 = \frac{21}{x - 3}

\frac{5.232}{x} = 20.5