Chapter 6, Problem 11SGR

To determine

To graph:

The following equations of system and the set of solution:

  $\begin{array}{l}x-y=1\\ x+y=5\end{array}$

Explanation of Solution

Given information:

  $\begin{array}{l}x-y=1\\ x+y=5\end{array}$

Graph:

  

Interpretation:

The given system of equation is:

  $x-y=1$........(1)

  $x+y=5$........(2)

The graph of two equations is drawn as above. Now the intersection point of two straight lines shown by eq. (1) and (2) is $\left(3,2\right)$ .

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 $\left(3,2\right)$ .