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

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

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

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

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

Decimal Notation

x = 3, x = 0.33333 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

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

2 x - \frac{18}{x} = 0

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

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

x - \frac{12}{x} = - 1

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

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