Chapter 2.7, Problem 2STP

For Exercises $1-5,$ choose the correct letter.

What is the solution to the proportion $\frac{x-1}{x}=\frac{2}{3}?$

F. -2

G. 0

H. 2

I. 3

To determine

To solve: $\frac{x-1}{x}=\frac{2}{3}$

Answer to Problem 2STP

The solution is I. 3

Explanation of Solution

Given information: $\frac{x-1}{x}=\frac{2}{3}$

Calculation:

  $\begin{array}{l}\frac{x-1}{x}=\frac{2}{3}\\ \Rightarrow 3\times (x-1)=2\times x\\ \Rightarrow (3\times x)-(3\times 1)=2x\\ \Rightarrow 3x-3=2x\\ \Rightarrow 3x-2x=3\\ \Rightarrow x=3\end{array}$

Thus, the solution is I. 3