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

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

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

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

x = 2, x = \frac{1}{4}

Decimal Notation

x = 2, x = 0.25

Solution steps

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

Multiply by LCM

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

Solve

3 x + 2 (x - 1) = 4 x (x - 1) : x = 2, x = \frac{1}{4}

x = 2, x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = 2, x = \frac{1}{4}

18 x - 77 = \frac{18}{x}

20 = \frac{x ^{2}}{75 - x}

x, a = \frac{y}{x - 1}

\frac{5}{x} = 8

(\frac{84}{y} + 2) (y - 1) = 84

What is the answer to 3/(x-1)+2/x =4 ?
The answer to 3/(x-1)+2/x =4 is x=2,x= 1/4
Solve for x: 3/(x-1)+2/x =4
The solution is x=2,x= 1/4