What is the answer to 5/(x-1)=(10)/(x-9) ?

The answer to 5/(x-1)=(10)/(x-9) is x=-7

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5/(x-1)=(10)/(x-9)

\frac{5}{x - 1} = \frac{10}{x - 9}

x = - 7

Solution steps

\frac{5}{x - 1} = \frac{10}{x - 9}

Cross multiply

5 x - 45 = 10 x - 10

Move

45

to the right side

5 x = 10 x + 35

Move

10 x

to the left side

- 5 x = 35

Divide both sides by

- 5

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 9

Combine undefined points with solutions:

x = - 7

\frac{1.7828 k}{k + 7828} = 1.7828

\frac{7}{x - 9} = 4 x

\frac{200}{2 x} = 4 x - 20 + 20

- \frac{8}{x} = - 4

a^{- 2} + 3 a^{- 1} - 10 = 0

What is the answer to 5/(x-1)=(10)/(x-9) ?
The answer to 5/(x-1)=(10)/(x-9) is x=-7
Solve for x: 5/(x-1)=(10)/(x-9)
The solution is x=-7