Chapter 8.1, Problem 18PSB

To determine

To check:The equivalence of the fraction i.e. $\frac{x-5}{4}=\frac{c}{3}$ with the $\frac{x-1}{4}=\frac{c+3}{3}$

.

Answer to Problem 18PSB

Yes, both are equivalent to each other

Explanation of Solution

Given information$\frac{x-5}{4}=\frac{c}{3}$ and $\frac{x-1}{4}=\frac{c+3}{3}$

Add 1 to the both sides of given fraction

  $\frac{x-5}{4}=\frac{c}{3}$

  $\begin{array}{l}\Rightarrow \frac{x-5}{4}+1=\frac{c}{3}+1\\ \Rightarrow \frac{x-5+4}{4}=\frac{c+3}{3}\\ \Rightarrow \frac{x-1}{4}=\frac{c+3}{3}\end{array}$

This is the other fractional relation

Hence, equivalent