Chapter 9.1, Problem 3WE

To determine

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

Answer to Problem 3WE

The solution of the given two linear equations is $\left(-1,3\right)$ .

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{c}y=-x+2\dots \left(1\right)\\ y=2x+5\dots \left(2\right)\end{array}$

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 $y=-x+2$ is given as:

Table1

$x$	$0$	$2$
$y$	$2$	$0$

The table for the equation $y=2x+5$ is given as:

Table2

$x$	$0$	$-2.5$
$y$	$5$	$0$

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 $\left(-1,3\right)$ .

Therefore, the solution of the given two linear equations is $\left(-1,3\right)$ .