What is the answer to 6/(x-1)=5 ?

The answer to 6/(x-1)=5 is x= 11/5

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6/(x-1)=5

\frac{6}{x - 1} = 5

x = \frac{11}{5}

Decimal Notation

x = 2.2

Solution steps

\frac{6}{x - 1} = 5

Multiply both sides by

x - 1

6 = 5 (x - 1)

Switch sides

5 (x - 1) = 6

Divide both sides by

5

x - 1 = \frac{6}{5}

Move

1

to the right side

x = \frac{11}{5}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{11}{5}

\frac{2 π}{b} = \frac{3 π}{2}

\frac{z}{8} = \frac{5}{z - 6}

\frac{1 + b}{1 - b} = 1

\frac{8}{x} = \frac{4}{8}

\frac{3}{2} = \frac{5}{7 X}