Question 37221
You can see the solution of the system when both equation have a common point in the graph. If they do not have a common point, I mean that if they are parallel, then the system do not have any solution. If both graph of the equations are the same then the system have infinite solution.

A system with one solution:

{{{ graph( 300, 200, -6, 5, -10, 10, x-2, 2x-1) }}}
You can see the solutions in the graph, x=-1,and y=-3.

A system without any solution:

{{{ graph( 300, 200, -6, 5, -10, 10, 3x-2, 3x-5) }}}
As you see in this system both lines are parallel, then they do not have any solution.

A system with infinite solutions:

{{{ graph( 300, 200, -6, 5, -10, 10, 2x-4, (4x-8)/2) }}}
In this system the graph of both equations is the same and therefore there are infinite solutions, for every point on the line.