Chapter 9.6, Problem 1GP

To determine

Tosolve: the system of equations by graphing.

Answer to Problem 1GP

Thesolution of system of equations is $\left(2,-2\right)$ .

Explanation of Solution

Given information:

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

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,

$x$	$y=-x$	$y=x-4$
$0$	$0$	$-4$
$2$	$-2$	$-2$
$-2$	$2$	$-6$

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 at the point $\left(2,-2\right)$ .