Chapter 8.1, Problem 20PSB

To determine

To calculate: The ratio of x and yin the given expression.

Answer to Problem 20PSB

The ratio of x and yis $\left(h+f\right):\left(e–g\right)$

Explanation of Solution

Given information:

  $ex-fy=gx+hy$

Formula used

  $\frac{p}{q}=p:q$

Calculation

  $\begin{array}{l}ex-fy=gx+hy\\ \Rightarrow \left(ex-gx\right)=\left(fy+hy\right)\\ \Rightarrow \left(e-g\right)x=\left(f+h\right)y\\ \Rightarrow \frac{x}{y}=\frac{f+h}{e-g}\\ \Rightarrow x:y=\left(f+h\right):\left(e-g\right)\end{array}$