What is the answer to (10)/(n-5)= 9/4 ?

The answer to (10)/(n-5)= 9/4 is n= 85/9

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(10)/(n-5)= 9/4

\frac{10}{n - 5} = \frac{9}{4}

n = \frac{85}{9}

Decimal Notation

n = 9.44444 \dots

Solution steps

\frac{10}{n - 5} = \frac{9}{4}

Cross multiply

40 = (n - 5) \cdot 9

Switch sides

(n - 5) \cdot 9 = 40

Divide both sides by

9

n - 5 = \frac{40}{9}

Move

5

to the right side

n = \frac{85}{9}

Verify Solutions

Find undefined (singularity) points:

n = 5

Combine undefined points with solutions:

n = \frac{85}{9}

- 8 = \frac{2}{y}

G (x) = \frac{x ^{2} - 4}{x - 2}

\frac{( 6 x ^{2} - 12 )}{( 3 x - 4 )} = 2 x

\frac{- 8 x}{( x ^{2} - 4 ) ^{2}} = 0

\frac{5 x - 1}{1 - 2 x} = - 6

What is the answer to (10)/(n-5)= 9/4 ?
The answer to (10)/(n-5)= 9/4 is n= 85/9
Solve for n: (10)/(n-5)= 9/4
The solution is n= 85/9