Chapter 9.1, Problem 7WE

To determine

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

Answer to Problem 7WE

The given system has no solution.

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{c}3x-9y=0\dots \left(1\right)\\ -x+3y=-3\dots \left(2\right)\end{array}$

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 $3x-9y=0$ is given as:

Table1

$x$	$-3$	$3$
$y$	$-1$	$1$

The table for the equation $-x+3y=-3$ is given as:

Table2

$x$	$0$	$3$
$y$	$-1$	$0$

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:

  

As the above graph shows that the graphs of the given two equations are parallel.

Therefore, the given system has no solution.