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

The answer to x/(2x-1)= 1/(x-3) is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

Solve for x: x/(2x-1)= 1/(x-3)

The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

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

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Solution steps

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

Cross multiply

x (x - 3) = 2 x - 1

Solve

x (x - 3) = 2 x - 1 : x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

\frac{25}{15} = \frac{40}{x}

\frac{6}{8} = \frac{30}{m}

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

8 + (\frac{1}{x} - 2) = 80

\frac{5}{3 x - 4} = \frac{1}{x - 2}

What is the answer to x/(2x-1)= 1/(x-3) ?
The answer to x/(2x-1)= 1/(x-3) is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2
Solve for x: x/(2x-1)= 1/(x-3)
The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2