Chapter 9.6, Problem 16IP

To determine

Tosolve: the system of equations by graphing.

Answer to Problem 16IP

The solution of the system of equation is $\left(2,-6\right)$ .

Explanation of Solution

Given information:

The system of equation is $y=-x-4,x=2$ .

Calculation: to find solution of the system of equations, first graph the both equations in the same coordinates plane,

To graph the equations, use the point plotting method,

$x$	$y=-x-4$
$0$	$-4$
$1$	$-5$
$-1$	$-3$

By using above table, and joint the points smoothly,

The graph of the lines can be obtained as:

From the above graph it can be observed that the both lines intersect each other at the point $\left(2,-6\right)$ .

Thus, the solution is $\left(2,-6\right)$ .