What is the answer to 5/(r-9)= 8/(r+5) ?

The answer to 5/(r-9)= 8/(r+5) is r= 97/3

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5/(r-9)= 8/(r+5)

\frac{5}{r - 9} = \frac{8}{r + 5}

r = \frac{97}{3}

Decimal Notation

r = 32.33333 \dots

Solution steps

\frac{5}{r - 9} = \frac{8}{r + 5}

Cross multiply

5 r + 25 = 8 r - 72

Move

25

to the right side

5 r = 8 r - 97

Move

8 r

to the left side

- 3 r = - 97

Divide both sides by

- 3

r = \frac{97}{3}

Verify Solutions

Find undefined (singularity) points:

r = 9, r = - 5

Combine undefined points with solutions:

r = \frac{97}{3}

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

\frac{5 x + 8}{5 x - 1} = \frac{4}{9}

4 x - \frac{13}{x} = \frac{3}{2}

x + \frac{1}{x} = \frac{17}{4}

0.2 = \frac{x ^{2}}{85 - x}

What is the answer to 5/(r-9)= 8/(r+5) ?
The answer to 5/(r-9)= 8/(r+5) is r= 97/3
Solve for r: 5/(r-9)= 8/(r+5)
The solution is r= 97/3