Chapter 9.6, Problem 18IP

To determine

Tosolve: the system of equations by graphing.

Answer to Problem 18IP

The solution of the system of equation is $\left(5,-1\right)$ .

Explanation of Solution

Given information:

The system of equation is $x-y=6,y=-1$ .

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,

$x$	$x-y=6$	$y=-1$
$0$	$-6$	$-1$
$1$	$-5$	$-1$
$-1$	$-7$	$-1$

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 $\left(5,-1\right)$ .

Thus, the solution is $\left(5,-1\right)$ .