Chapter 9.1, Problem 1WE

To determine

To find: The solution of the given two linear equations by the graphing method.

Answer to Problem 1WE

The solution of the given two linear equations is $\left(3,3\right)$ .

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{c}y=x\dots \left(1\right)\\ y=6-x\dots \left(2\right)\end{array}$

To solve the given equations by graphing method, first, make the tables of the corresponding values of $y$ after substituting the randomly selected values of $x$ in the given equations.

The table for the equation $y=x$ is given as:

Table1

$x$	$-1$	$1$
$y$	$-1$	$1$

The table for the equation $y=6-x$ is given as:

Table2

$x$	$0$	$6$
$y$	$6$	$0$

Plot all the ordered pairs that shows in the table1 and table2 and hence join them to make the lines in the coordinate plane.

So the graph is given as:

  

So by using the above graph, the solution of the given system of equations is $\left(3,3\right)$ .

Therefore, the solution of the given two linear equations is $\left(3,3\right)$ .