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

The answer to 5/(x-3)= 3/(5-x) is x= 17/4

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

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

x = \frac{17}{4}

Decimal Notation

x = 4.25

Solution steps

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

Cross multiply

25 - 5 x = 3 x - 9

Move

25

to the right side

- 5 x = 3 x - 34

Move

3 x

to the left side

- 8 x = - 34

Divide both sides by

- 8

x = \frac{17}{4}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 5

Combine undefined points with solutions:

x = \frac{17}{4}

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

\frac{3}{y} = \frac{6}{y - 2}

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

\frac{1}{x} + 3 = \frac{3}{x}

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

What is the answer to 5/(x-3)= 3/(5-x) ?
The answer to 5/(x-3)= 3/(5-x) is x= 17/4
Solve for x: 5/(x-3)= 3/(5-x)
The solution is x= 17/4