Chapter 2.3, Problem 3STP

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

What is the solution of $\frac{x}{3}+\frac{3}{5}=-\frac{1}{15}?$

A. -2

B. $\frac{8}{5}$

C. 2

D. $\frac{16}{3}$

To determine

To find: the solution of the given equation.

Answer to Problem 3STP

Option $A.-2$is correct.

Explanation of Solution

Given information:

The given equation is $\frac{x}{3}+\frac{3}{5}=-\frac{1}{15}$

Calculation:

Solve the equation

  $\begin{array}{l}\frac{x}{3}+\frac{3}{5}=-\frac{1}{15}\\ \frac{5x+9}{15}=-\frac{1}{15}\text{ take LCM}\\ 5x+9=-1\text{ eleminate denominators}\\ 5x=-1-9\\ 5x=-10\\ x=-2\text{ solution}\end{array}$

Hence, the solution is $x=-2$

Option A is correct.