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if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals

Respuesta :

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Answer:

[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property
  • Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]

[tex]\frac{8r+8s}{15x-15y} = ?[/tex]

Step 2: Find Unknown

  1. Multiply both sides by 8/15:                    [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]
  2. Distribute/Multiply:                                  [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]
  3. Simplify:                                                   [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

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