What is the answer to 2/10 = 8/(n-7) ?

The answer to 2/10 = 8/(n-7) is n=47

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2/10 = 8/(n-7)

\frac{2}{10} = \frac{8}{n - 7}

n = 47

Solution steps

\frac{2}{10} = \frac{8}{n - 7}

Cross multiply

2 (n - 7) = 80

Divide both sides by

2

n - 7 = 40

Move

7

to the right side

n = 47

Verify Solutions

Find undefined (singularity) points:

n = 7

Combine undefined points with solutions:

n = 47

\frac{1}{3 x + 4} = \frac{2}{x + 8}

\frac{36}{x} = 6

\frac{- x ^{3} + 40 x}{x ^{2} - 7} = 2 x

(m + 2) (\frac{1}{m} + 2) = 10

\frac{2}{8} = \frac{1}{x}