What is the answer to 3/(x-2)= 4/(x-1) ?

The answer to 3/(x-2)= 4/(x-1) is x=5

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3/(x-2)= 4/(x-1)

\frac{3}{x - 2} = \frac{4}{x - 1}

x = 5

Solution steps

\frac{3}{x - 2} = \frac{4}{x - 1}

Cross multiply

3 x - 3 = 4 x - 8

Move

3

to the right side

3 x = 4 x - 5

Move

4 x

to the left side

- x = - 5

Divide both sides by

- 1

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 1

Combine undefined points with solutions:

x = 5

\frac{2}{y} + \frac{4}{y} = 3

\frac{1}{x} = 5

\frac{4 x + 9}{x} = 12

\frac{x + 2}{x - 1} = \frac{7}{4}

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