What is the answer to 7/((x-1))=9 ?

The answer to 7/((x-1))=9 is x= 16/9

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7/((x-1))=9

\frac{7}{( x - 1 )} = 9

x = \frac{16}{9}

Decimal Notation

x = 1.77777 \dots

Solution steps

\frac{7}{( x - 1 )} = 9

Simplify

\frac{7}{( x - 1 )} : \frac{7}{x - 1}

\frac{7}{x - 1} = 9

Multiply both sides by

x - 1

7 = 9 (x - 1)

Switch sides

9 (x - 1) = 7

Divide both sides by

9

x - 1 = \frac{7}{9}

Move

1

to the right side

x = \frac{16}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{16}{9}

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

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

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

\frac{x}{x - 3} + 8 = \frac{9}{x ^{2} - 3 x}

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