What is the answer to 1/x-2/(x-5)=0 ?

The answer to 1/x-2/(x-5)=0 is x=-5

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1/x-2/(x-5)=0

\frac{1}{x} - \frac{2}{x - 5} = 0

x = - 5

Solution steps

\frac{1}{x} - \frac{2}{x - 5} = 0

Multiply by LCM

- x - 5 = 0

Move

5

to the right side

- x = 5

Divide both sides by

- 1

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 5

Combine undefined points with solutions:

x = - 5

e = \frac{a - re}{e - r}

2 z^{2} - \frac{15}{z ^{2}} + 7 = 0

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

y, \frac{y + 2}{5 y - 1} = x

\frac{x - 1}{x - 3} = \frac{9}{5}