What is the answer to 6/x = 10/7 ?

The answer to 6/x = 10/7 is x= 21/5

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6/x = 10/7

\frac{6}{x} = \frac{10}{7}

x = \frac{21}{5}

Decimal

x = 4.2

Solution steps

\frac{6}{x} = \frac{10}{7}

Cross multiply

42 = x \cdot 10

Switch sides

x \cdot 10 = 42

Divide both sides by

10

x = \frac{21}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{21}{5}

\frac{15}{x} - \frac{11 x + 5}{x ^{2}} = - 1

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

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

\frac{5}{x + 4} - 2 = \frac{7 x + 18}{x + 4}

x - \frac{x + 5}{x + 7} = \frac{2}{x + 7}