Chapter 6.1, Problem 3LC

To determine

To solve: the given system using graphing.

Explanation of Solution

Given information:

The given system is as follows:

  $\begin{array}{l}y=-3x-3\\ y=2x+2\end{array}$

Concept used:

The points of intersection of the graphs of the equations of the stem is equal to its solutions.

Make a table of values for the given system of equations

$x$	$-5$	$0$	$2$	$5$
$y=-3x-3$	$12$	$-3$	-9	$18$
$y=2x+2$	$-8$	$2$	$6$	$12$

Graph:

The graph of given system of equations is shown below.

The point of intersection of the given system of equations is $(-1,0)$

Hence, the solution of the system is $(x,y)=(-1,0).$ .