What is the answer to (x-1)/(x-9)= 4/5 ?

The answer to (x-1)/(x-9)= 4/5 is x=-31

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(x-1)/(x-9)= 4/5

\frac{x - 1}{x - 9} = \frac{4}{5}

x = - 31

Solution steps

\frac{x - 1}{x - 9} = \frac{4}{5}

Cross multiply

5 x - 5 = 4 x - 36

Move

5

to the right side

5 x = 4 x - 31

Move

4 x

to the left side

x = - 31

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = - 31

\frac{x + 1}{x - 3} = \frac{9}{5}

\frac{v - 3}{v + 5} = - \frac{12}{7}

\frac{2}{3} = \frac{x + 7}{3 x}

\frac{1}{x} - 2 = 12

x^{- 1} = \frac{1}{x}

What is the answer to (x-1)/(x-9)= 4/5 ?
The answer to (x-1)/(x-9)= 4/5 is x=-31
Solve for x: (x-1)/(x-9)= 4/5
The solution is x=-31