What is the answer to -(10)/(n-10)= 5/8 ?

The answer to -(10)/(n-10)= 5/8 is n=-6

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-(10)/(n-10)= 5/8

- \frac{10}{n - 10} = \frac{5}{8}

n = - 6

Solution steps

- \frac{10}{n - 10} = \frac{5}{8}

Cross multiply

- 80 = (n - 10) \cdot 5

Switch sides

(n - 10) \cdot 5 = - 80

Divide both sides by

5

n - 10 = - 16

Move

10

to the right side

n = - 6

Verify Solutions

Find undefined (singularity) points:

n = 10

Combine undefined points with solutions:

n = - 6

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

- \frac{2 x}{( x ^{2} - 1 ) ^{2}} = 0

\frac{9}{5} = \frac{3}{x + 7}

\frac{3}{( 1 - c )} = 4

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

What is the answer to -(10)/(n-10)= 5/8 ?
The answer to -(10)/(n-10)= 5/8 is n=-6
Solve for n: -(10)/(n-10)= 5/8
The solution is n=-6