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

The answer to 2/(x-1)=(x+4)/3 is x=2,x=-5

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

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

x = 2, x = - 5

Solution steps

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

Cross multiply

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

Solve

6 = (x - 1) (x + 4) : x = 2, x = - 5

x = 2, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 5

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

\frac{4}{x - 13} = \frac{9}{x + 13}

\frac{1}{x} - \frac{2}{x + 1} = \frac{3}{6 x}

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

- 1 - \frac{5}{x} = - 6 x

What is the answer to 2/(x-1)=(x+4)/3 ?
The answer to 2/(x-1)=(x+4)/3 is x=2,x=-5
Solve for x: 2/(x-1)=(x+4)/3
The solution is x=2,x=-5