What is the answer to (2x)/(x-1)= 5/(x-3) ?

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

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(2x)/(x-1)= 5/(x-3)

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

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

Decimal Notation

x = 5, x = 0.5

Solution steps

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

Cross multiply

2 x (x - 3) = (x - 1) \cdot 5

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 3

Combine undefined points with solutions:

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

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

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

\frac{30 x + 6288}{x + 166} = 36.54

- 6 - \frac{6}{x + 5} = \frac{6 x}{x + 5}

2 x - 9 = \frac{5}{x}

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