Chapter 6, Problem 14PT

To determine

To find. To define variables to find the number of issues of sports magazine as well as fashion magazine. And also to find the system of equations to find the number of issues of sports magazine as well as fashion magazine.

Answer to Problem 14PT

The system of equations to find the number of issues of sports magazine as well as fashion magazine are:

  $x+y=24$ , $x-2y=-6$

Explanation of Solution

Given information :

Given:

Total issues received by the Julie of sports and fashion magazine in this year are 24.

And the number of fashion issues is 6 less than the twice number of sports issues.

Let the number of fashion issues received by Julie is x

And the number of sports received by the Julie is y

So according to the question:

Number of fashion issues + Number of sports issues = 24

Or $x+y=24$ ....Equation 1

And number of fashion issues = 2 $\times$ Number of sports issues − 6

Or $x=2\times y-6$

Or $x-2y=-6$ ....Equation 2

So the system of equations to find the number of issues of sports magazine as well as fashion magazine are:

  $x+y=24$ ....Equation 1

  $x-2y=-6$ ....Equation 2