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

The answer to x+5/(x-1)=7 is x=6,x=2

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x+5/(x-1)=7

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

x = 6, x = 2

Solution steps

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

Multiply both sides by

x - 1

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

Solve

x (x - 1) + 5 = 7 (x - 1) : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 6, x = 2

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

\frac{( + 6 )}{x} = (- 3)

x^{2} + (- \frac{x}{x + 2})^{2} = 20

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

3 - \frac{3}{x - 9} = \frac{x}{x - 9}