What is the answer to 6/(n-10)= 7/4 ?

The answer to 6/(n-10)= 7/4 is n= 94/7

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6/(n-10)= 7/4

\frac{6}{n - 10} = \frac{7}{4}

n = \frac{94}{7}

Decimal Notation

n = 13.42857 \dots

Solution steps

\frac{6}{n - 10} = \frac{7}{4}

Cross multiply

24 = (n - 10) \cdot 7

Switch sides

(n - 10) \cdot 7 = 24

Divide both sides by

7

n - 10 = \frac{24}{7}

Move

10

to the right side

n = \frac{94}{7}

Verify Solutions

Find undefined (singularity) points:

n = 10

Combine undefined points with solutions:

n = \frac{94}{7}

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

\frac{2}{5} = \frac{6}{n}

\frac{5}{4 x - 1} = \frac{1 + 5}{4 x}

\frac{2}{7} = \frac{8}{x}

\frac{x}{3} - \frac{5}{x} = 4