What is the answer to 5/x+3= 4/(x-1) ?

The answer to 5/x+3= 4/(x-1) is x= 5/3 ,x=-1

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

\frac{5}{x} + 3 = \frac{4}{x - 1}

x = \frac{5}{3}, x = - 1

Solution steps

\frac{5}{x} + 3 = \frac{4}{x - 1}

Multiply by LCM

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

Solve

5 (x - 1) + 3 x (x - 1) = 4 x : x = \frac{5}{3}, x = - 1

x = \frac{5}{3}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{5}{3}, x = - 1

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

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

\frac{( - 2 x ^{2} + 5 x - 1 )}{2 x - 1} = 0

16 x^{- 4} - 17 x^{- 2} + 1 = 0

\frac{7}{x} = \frac{20}{5}

What is the answer to 5/x+3= 4/(x-1) ?
The answer to 5/x+3= 4/(x-1) is x= 5/3 ,x=-1
Solve for x: 5/x+3= 4/(x-1)
The solution is x= 5/3 ,x=-1