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

The answer to (x-2)/(x-1)= 4/(x+2) is x=4,x=0

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

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

x = 4, x = 0

Solution steps

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

Cross multiply

(x - 2) (x + 2) = (x - 1) \cdot 4

Solve

(x - 2) (x + 2) = (x - 1) \cdot 4 : x = 4, x = 0

x = 4, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 4, x = 0

\frac{10}{5 x - 9} = \frac{8}{2 x - 8}

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

2 + \frac{3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

\frac{5}{x - 7} = \frac{3}{x - 2}

\frac{5}{x} = x - 4

What is the answer to (x-2)/(x-1)= 4/(x+2) ?
The answer to (x-2)/(x-1)= 4/(x+2) is x=4,x=0
Solve for x: (x-2)/(x-1)= 4/(x+2)
The solution is x=4,x=0