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

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

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

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

x = 4, x = \frac{4}{3}

Decimal Notation

x = 4, x = 1.33333 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = 4, x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 1

Combine undefined points with solutions:

x = 4, x = \frac{4}{3}

\frac{1}{x} + 3 = \frac{3}{x}

\frac{6}{x - 2} - \frac{6}{x + 1} = 1

\frac{3 x}{4} = \frac{12}{x}

x^{- 2} = \frac{1}{25}

4 = \frac{1}{x}

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