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

The answer to 10/6 = 6/(x-7) is x= 53/5

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10/6 = 6/(x-7)

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

x = \frac{53}{5}

Decimal Notation

x = 10.6

Solution steps

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

Cross multiply

10 (x - 7) = 36

Divide both sides by

10

x - 7 = \frac{18}{5}

Move

7

to the right side

x = \frac{53}{5}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{53}{5}

I, A = \frac{9 R}{I}

0 = \frac{2 t ^{2}}{t + 1} - 15

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

y, - y^{- 1} = - x^{2} + 3

\frac{2}{5} = \frac{30}{3 t + 9}