Chapter 9.6, Problem 3GP

To determine

Tosolve: the system of equations by graphing.

Answer to Problem 3GP

Thesystem of equations have infinite solutions.

Explanation of Solution

Given information:

The system of equation is $y=\frac{3}{2}x-1,3x-2y=2$ .

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,

$x$	$y=\frac{3}{2}x-1$	$3x-2y=2$
$0$	$-1$	$-1$
$2$	$2$	$2$
$-2$	$-4$	$-4$

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 are same so the system of equations have infinite solutions.