What is the answer to x=(6x+7)/(x-1) ?

The answer to x=(6x+7)/(x-1) is x=(7+sqrt(77))/2 ,x=(7-sqrt(77))/2

Solve for x: x=(6x+7)/(x-1)

The solution is x=(7+sqrt(77))/2 ,x=(7-sqrt(77))/2

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x = \frac{6 x + 7}{x - 1}

x = \frac{7 + 77}{2}, x = \frac{7 - 77}{2}

Decimal Notation

x = 7.88748 \dots, x = - 0.88748 \dots

Solution steps

x = \frac{6 x + 7}{x - 1}

Multiply both sides by

x - 1

x (x - 1) = 6 x + 7

Solve

x (x - 1) = 6 x + 7 : x = \frac{7 + 77}{2}, x = \frac{7 - 77}{2}

x = \frac{7 + 77}{2}, x = \frac{7 - 77}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{7 + 77}{2}, x = \frac{7 - 77}{2}

\frac{1}{2 x} + \frac{x - 3}{x + 5} = 1

\frac{6}{6 b + 5} = \frac{2}{b - 5}

\frac{- 5}{9} = \frac{16}{x}

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

1 - \frac{6}{x ^{3}} = 0

What is the answer to x=(6x+7)/(x-1) ?
The answer to x=(6x+7)/(x-1) is x=(7+sqrt(77))/2 ,x=(7-sqrt(77))/2
Solve for x: x=(6x+7)/(x-1)
The solution is x=(7+sqrt(77))/2 ,x=(7-sqrt(77))/2