Chapter 6, Problem 17SGR

To determine

To calculate:

The variables, system of equations and its solution set for the given condition using the graphing

Answer to Problem 17SGR

In the given system, two variables are defined as $x$ and $y$ . The system of equations is $x+y=14$ and $x-y=4$ , its solution is $\left(9,5\right)$ shown by graph.

Explanation of Solution

Given information:

Sum of two variables is $14$

Difference of two variables is $4$

Calculation:

Consider:

First variable: $x$

Second variable: $y$

As per the condition given in the problem:

Case 1: Sum of two variables is $14$

  $x+y=14$........(1)

Case 2: Difference of two variables is $4$

  $x-y=4$........(2)

The graph of two equations is drawn as below.

  

Now the intersection point of two straight lines shown by eq. (1) and (2) is $\left(9,5\right)$ .

This intersection point of two lines is nothing but the solution set of given system of equation.

Therefore, one solution of given system of equation is labelled as $\left(9,5\right)$ .