What is the answer to (2x-3)/(x-6)=(3x-1)/(x-2) ?

The answer to (2x-3)/(x-6)=(3x-1)/(x-2) is x=0,x=12

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(2x-3)/(x-6)=(3x-1)/(x-2)

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

x = 0, x = 12

Solution steps

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

Cross multiply

(2 x - 3) (x - 2) = (x - 6) (3 x - 1)

Solve

(2 x - 3) (x - 2) = (x - 6) (3 x - 1) : x = 0, x = 12

x = 0, x = 12

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 2

Combine undefined points with solutions:

x = 0, x = 12

0 = \frac{2 x - 1}{x ^{2} - 4}

\frac{6}{x + 6} = \frac{8}{x}

170 = \frac{343}{2 \cdot l}

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

4 π r + \frac{2}{r ^{2}} = 0

What is the answer to (2x-3)/(x-6)=(3x-1)/(x-2) ?
The answer to (2x-3)/(x-6)=(3x-1)/(x-2) is x=0,x=12
Solve for x: (2x-3)/(x-6)=(3x-1)/(x-2)
The solution is x=0,x=12