What is the answer to 1/(5a+8)=9 ?

The answer to 1/(5a+8)=9 is a=-71/45

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1/(5a+8)=9

\frac{1}{5 a + 8} = 9

a = - \frac{71}{45}

Decimal Notation

a = - 1.57777 \dots

Solution steps

\frac{1}{5 a + 8} = 9

Multiply both sides by

5 a + 8

1 = 9 (5 a + 8)

Switch sides

9 (5 a + 8) = 1

Divide both sides by

9

5 a + 8 = \frac{1}{9}

Move

8

to the right side

5 a = - \frac{71}{9}

Divide both sides by

5

a = - \frac{71}{45}

Verify Solutions

Find undefined (singularity) points:

a = - \frac{8}{5}

Combine undefined points with solutions:

a = - \frac{71}{45}

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

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

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

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

(\frac{2}{x + 1} + 2)^{2} - 5 = 11