Chapter 9.6, Problem 2GP

To determine

Tosolve: the system of equations by graphing.

Answer to Problem 2GP

Thesolution of system of equations is $\left(3,4\right)$ .

Explanation of Solution

Given information:

The system of equation is $y=x+1,x+y=7$ .

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,

$x$	$y=x+1$	$x+y=7$
$0$	$1$	$7$
$2$	$3$	$5$
$-2$	$-1$	$9$

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 $\left(3,4\right)$ .