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

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

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

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

x = - 5

Solution steps

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

Cross multiply

4 x - 4 = 3 x - 9

Move

4

to the right side

4 x = 3 x - 5

Move

3 x

to the left side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 5

y, s (y) = \frac{3 y}{y + 5}

x + \frac{1}{x} = 2

v, d = \frac{m}{v}

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

\frac{10 x + 3}{5 x + 6} = \frac{1}{2}