Question

If le="\frac{r + s}{x - y} = \frac{3}{4}" alt="\frac{r + s}{x - y} = \frac{3}{4}" align="absmiddle" class="latex-formula"> then $\frac{8r + 8s}{15x - 15y}$ equals

Answer 1

Answer:

$\frac{8r+8s}{15x-15y} = \frac{2}{5}$

General Formulas and Concepts:

Pre-Algebra

• Distributive Property
• Equality Properties

Step-by-step explanation:

Step 1: Define

$\frac{r+s}{x-y} = \frac{3}{4}$

$\frac{8r+8s}{15x-15y} = ?$

Step 2: Find Unknown

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