What is the answer to (x-9)/(x-8)= 5/x ?

The answer to (x-9)/(x-8)= 5/x is x=10,x=4

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(x-9)/(x-8)= 5/x

\frac{x - 9}{x - 8} = \frac{5}{x}

x = 10, x = 4

Solution steps

\frac{x - 9}{x - 8} = \frac{5}{x}

Cross multiply

(x - 9) x = (x - 8) \cdot 5

Solve

(x - 9) x = (x - 8) \cdot 5 : x = 10, x = 4

x = 10, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 0

Combine undefined points with solutions:

x = 10, x = 4

y, x = \frac{2 + a y}{1 + y}

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

50 x - (\frac{1}{100 x}) = 8

\frac{3 ( 9 - 2 x )}{x} = x

\frac{1}{x} - \frac{2 x}{x + 1} = 0

What is the answer to (x-9)/(x-8)= 5/x ?
The answer to (x-9)/(x-8)= 5/x is x=10,x=4
Solve for x: (x-9)/(x-8)= 5/x
The solution is x=10,x=4