What is the answer to 1/(x-8)=-1/(x-9) ?

The answer to 1/(x-8)=-1/(x-9) is x= 17/2

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1/(x-8)=-1/(x-9)

\frac{1}{x - 8} = - \frac{1}{x - 9}

x = \frac{17}{2}

Solution steps

\frac{1}{x - 8} = - \frac{1}{x - 9}

Cross multiply

x - 9 = - x + 8

Move

9

to the right side

x = - x + 17

Move

x

to the left side

2 x = 17

Divide both sides by

2

x = \frac{17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 9

Combine undefined points with solutions:

x = \frac{17}{2}

x + \frac{1}{x - 3} = 5

\frac{6}{k - 1} = \frac{8}{k - 6}

\frac{3}{x} = \frac{9}{8 x} + 3

\frac{3 x + 6}{x + 2} = 3

\frac{2 π}{b} = 4 π

What is the answer to 1/(x-8)=-1/(x-9) ?
The answer to 1/(x-8)=-1/(x-9) is x= 17/2
Solve for x: 1/(x-8)=-1/(x-9)
The solution is x= 17/2