Question

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

Answer 1

r = 32 1/3 or 97/3

Explanation:

Step 1: Cross-multiply.

• 
  `5*(r+5)=8*(r-9)`
• 
  `5r + 25 = 8r - 72`

Step 2: Subtract 8r from both sides.

• 
  `5r + 25 - 8r = 8r - 72 - 8r`
• 
  `-3r +25=-72`

Step 3: Subtract 25 from both sides.

• 
  `-3r + 25 - 25 = -72 - 25`
• 
  `-3r = -97`

Step 4: Divide both sides by -3.

• 
  `(-3r)/(-3)=(-97)/(-3)`
• 
  `r=(97)/(3)`
• 
  `r = 32(1)/(3)`

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

Answer 2

r = 32 1/3

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