What is the answer to (11)/(x-9)=-10 ?

The answer to (11)/(x-9)=-10 is x= 79/10

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(11)/(x-9)=-10

\frac{11}{x - 9} = - 10

x = \frac{79}{10}

Decimal Notation

x = 7.9

Solution steps

\frac{11}{x - 9} = - 10

Multiply both sides by

x - 9

11 = - 10 (x - 9)

Switch sides

- 10 (x - 9) = 11

Divide both sides by

- 10

x - 9 = - \frac{11}{10}

Move

9

to the right side

x = \frac{79}{10}

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = \frac{79}{10}

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

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

\frac{20}{x ^{2} - 4 x + 7} = x + 2

\frac{1}{x} - \frac{x}{6} = \frac{2}{3}

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