What is the answer to 1/x =(16)/(9x)+7 ?

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

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1/x =(16)/(9x)+7

\frac{1}{x} = \frac{16}{9 x} + 7

x = - \frac{1}{9}

Decimal Notation

x = - 0.11111 \dots

Solution steps

\frac{1}{x} = \frac{16}{9 x} + 7

Multiply by LCM

9 = 16 + 63 x

Switch sides

16 + 63 x = 9

Move

16

to the right side

63 x = - 7

Divide both sides by

63

x = - \frac{1}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{9}

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

5 + A = \frac{A ^{3} + 1}{A ^{2} + 1}

r, S = \frac{a _{1}}{1 - r}

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

\frac{3}{2} = \frac{9}{10 k}

What is the answer to 1/x =(16)/(9x)+7 ?
The answer to 1/x =(16)/(9x)+7 is x=-1/9
Solve for x: 1/x =(16)/(9x)+7
The solution is x=-1/9