What is the answer to (x-1)/(x-5)= 5/7 ?

The answer to (x-1)/(x-5)= 5/7 is x=-9

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(x-1)/(x-5)= 5/7

\frac{x - 1}{x - 5} = \frac{5}{7}

x = - 9

Solution steps

\frac{x - 1}{x - 5} = \frac{5}{7}

Cross multiply

7 x - 7 = 5 x - 25

Move

7

to the right side

7 x = 5 x - 18

Move

5 x

to the left side

2 x = - 18

Divide both sides by

2

x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = - 9

6 x - 13 - \frac{28}{x} = 0

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

\frac{d}{b} = \frac{n ^{3}}{q}

\frac{3}{x} - 1 = 8

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