Question

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

Answer 1

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

Answer 2

Answer:

r = 32 1/3 or 97/3

Step-by-step 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.

• $\frac{-3r}{-3}=\frac{-97}{-3}$
• $r=\frac{97}{3}$
• $r = 32\frac{1}{3}$

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