What is the answer to 1/(x-1)= 2/(3-x) ?

The answer to 1/(x-1)= 2/(3-x) is x= 5/3

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1/(x-1)= 2/(3-x)

\frac{1}{x - 1} = \frac{2}{3 - x}

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

\frac{1}{x - 1} = \frac{2}{3 - x}

Cross multiply

3 - x = 2 x - 2

Move

3

to the right side

- x = 2 x - 5

Move

2 x

to the left side

- 3 x = - 5

Divide both sides by

- 3

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 3

Combine undefined points with solutions:

x = \frac{5}{3}

g = \frac{c}{1 - u}

\frac{x + 3}{x - 2} = 7

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

\frac{x - 5}{4 x} + 1 = \frac{x + 2}{x}

x, u = y + \frac{k}{x}

What is the answer to 1/(x-1)= 2/(3-x) ?
The answer to 1/(x-1)= 2/(3-x) is x= 5/3
Solve for x: 1/(x-1)= 2/(3-x)
The solution is x= 5/3