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

The answer to 3/(5-x)= 2/(x-1) is x= 13/5

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

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

x = \frac{13}{5}

Solution steps

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

Cross multiply

3 x - 3 = 10 - 2 x

Move

3

to the right side

3 x = - 2 x + 13

Move

2 x

to the left side

5 x = 13

Divide both sides by

5

x = \frac{13}{5}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 1

Combine undefined points with solutions:

x = \frac{13}{5}

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\frac{( 5 y - 6 ) ( 4 y - 8 )}{5 y - 2} = 4 y + 5

\frac{( n - 2 ) 180}{n} = 108

\frac{g - 7}{4} = \frac{2}{g - 7}

2 π r^{2} - \frac{2000}{r} = 0

What is the answer to 3/(5-x)= 2/(x-1) ?
The answer to 3/(5-x)= 2/(x-1) is x= 13/5
Solve for x: 3/(5-x)= 2/(x-1)
The solution is x= 13/5