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

The answer to (x-3)/(x+5)= 2/(x-1) is x=7,x=-1

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

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

x = 7, x = - 1

Solution steps

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

Cross multiply

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

Solve

(x - 3) (x - 1) = (x + 5) \cdot 2 : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 1

Combine undefined points with solutions:

x = 7, x = - 1

\frac{3 x}{x + 3} = 5 - \frac{9}{x + 3}

\frac{5}{3 x + 2} = \frac{4}{3 x + 1}

\frac{2 k - 3}{k + 9} = \frac{3}{5}

- \frac{2}{x ^{3}} = 0

\frac{4}{x} = 8

What is the answer to (x-3)/(x+5)= 2/(x-1) ?
The answer to (x-3)/(x+5)= 2/(x-1) is x=7,x=-1
Solve for x: (x-3)/(x+5)= 2/(x-1)
The solution is x=7,x=-1