Respuesta :

chetankachana

Answer:

r = 32 1/3

Step-by-step explanation:

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

cross multiply:

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

5r + 25 = 8r - 72

Add 72 to both sides:

5r + 97 = 8r

Subtract 5r from both sides

97 = 3r

Divide both sides by 3

r = 32 1/3

-Chetan K

renknee

Answer:

r = 32 1/3 or 97/3

Step-by-step explanation:

Step 1: Cross-multiply.

  • [tex]5*(r+5)=8*(r-9)[/tex]
  • [tex]5r + 25 = 8r - 72[/tex]

Step 2: Subtract 8r from both sides.

  • [tex]5r + 25 - 8r = 8r - 72 - 8r[/tex]
  • [tex]-3r +25=-72[/tex]

Step 3: Subtract 25 from both sides.

  • [tex]-3r + 25 - 25 = -72 - 25[/tex]
  • [tex]-3r = -97[/tex]

Step 4: Divide both sides by -3.

  • [tex]\frac{-3r}{-3}=\frac{-97}{-3}[/tex]
  • [tex]r=\frac{97}{3}[/tex]
  • [tex]r = 32\frac{1}{3}[/tex]

Therefore, r = 32 1/3 or 97/3.

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