Chapter 8.2, Problem 13PSB

To determine

To find:The ratio of x and y, if $\frac{8}{2x-3y}=\frac{7}{6x-4y}$

Answer to Problem 13PSB

The ratio in between x and y will be: 11:34

Explanation of Solution

Given information

  $\frac{8}{2x-3y}=\frac{7}{6x-4y}$

Formula used:

Simple cross multiplication

Calculation

  $\begin{array}{l}\frac{8}{2x-3y}=\frac{7}{6x-4y}\\ \Rightarrow 8\left(6x-4y\right)=7\left(2x-3y\right)\\ \Rightarrow 48x-14x=32y-21y\\ \Rightarrow 34x=11y\\ \Rightarrow \frac{x}{y}=\frac{11}{34}=11:34\end{array}$ .