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

The answer to x/(2x-3)+4/(x+1)=1 is x=1,x=9

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

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

x = 1, x = 9

Solution steps

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

Multiply by LCM

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

Solve

x (x + 1) + 4 (2 x - 3) = (x + 1) (2 x - 3) : x = 1, x = 9

x = 1, x = 9

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 1, x = 9

b, \frac{a}{b} = c

\frac{x - 7}{x + 2} = \frac{7}{4}

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

\frac{2}{x} = 0

\frac{4}{3} = \frac{8}{x - 1}

What is the answer to x/(2x-3)+4/(x+1)=1 ?
The answer to x/(2x-3)+4/(x+1)=1 is x=1,x=9
Solve for x: x/(2x-3)+4/(x+1)=1
The solution is x=1,x=9