If (r + s)/(x - y) = (3)/(4) then (8r + 8s)/(15x - 15y) equals

Question

If
`(r + s)/(x - y) = (3)/(4)` then
`(8r + 8s)/(15x - 15y)` equals

Answer 1

`(8r+8s)/(15x-15y) = (2)/(5)`

General Formulas and Concepts:

Pre-Algebra

• Distributive Property
• Equality Properties

Explanation:

Step 1: Define

`(r+s)/(x-y) = (3)/(4)`

`(8r+8s)/(15x-15y) = ?`

Step 2: Find Unknown

1. Multiply both sides by 8/15:
   `(8)/(15) \cdot (r+s)/(x-y) = (8)/(15) \cdot (3)/(4)`
2. Distribute/Multiply:
   `(8r+8s)/(15x-15y)= (24)/(60)`
3. Simplify:
   `(8r+8s)/(15x-15y) = (2)/(5)`