What is the answer to (2x-1)/(x+2)=(3x-5)/(x+1) ?

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

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(2x-1)/(x+2)=(3x-5)/(x+1)

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

x = 3, x = - 3

Solution steps

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

Cross multiply

(2 x - 1) (x + 1) = (x + 2) (3 x - 5)

Solve

(2 x - 1) (x + 1) = (x + 2) (3 x - 5) : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 1

Combine undefined points with solutions:

x = 3, x = - 3

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

1 + \frac{7}{x - 5} = \frac{x + 2}{x ^{2} - 9 x + 20}

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

\frac{1}{5} + \frac{1}{x} = \frac{1}{3.5}

\frac{2}{x ^{2} + 5 x + 6} = \frac{4}{x + 2}

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