What is the answer to 1/(x-1)-3/(x-4)=0 ?

The answer to 1/(x-1)-3/(x-4)=0 is x=-1/2

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1/(x-1)-3/(x-4)=0

\frac{1}{x - 1} - \frac{3}{x - 4} = 0

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{1}{x - 1} - \frac{3}{x - 4} = 0

Multiply by LCM

x - 4 - 3 (x - 1) = 0

Move

4

to the right side

x - 3 (x - 1) = 4

Expand

- 3 (x - 1) : - 3 x + 3

x - 3 x + 3 = 4

Add similar elements:

x - 3 x = - 2 x

- 2 x + 3 = 4

Move

3

to the right side

- 2 x = 1

Divide both sides by

- 2

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 4

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{- 7}{x + 4} = \frac{3}{x - 5}

x, y = \frac{1}{x + 1}

2 x - \frac{6}{x} = \frac{3 + x}{4} - 6

\frac{7}{6} = \frac{2}{k}

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

What is the answer to 1/(x-1)-3/(x-4)=0 ?
The answer to 1/(x-1)-3/(x-4)=0 is x=-1/2
Solve for x: 1/(x-1)-3/(x-4)=0
The solution is x=-1/2