math homework, help..? Options

[missmissy]

Ok, I was sick for a while and I talked to the teacher about it. He explained it to me but he is a horrible explainer so I never really got what he said. So he told me to look in the text book and I still don't get it.. Do you think you can help?

graph each system of equations using the coordinate plane provided. Then determine whether the system has one solution, no solution, or infinitely man solutions. If the solution has one, name it.

x+y=3
x-y=3

2x-y=6
4x-2y=12

x+y=0
x+y=2


Do you think you could do two of those and make a graph of it on photoshop for me? You know, like make a grid and plot the lines? I just need examples so I can figure out the rest. There is a whole sheet of the things I need to do..

[avalon*]

well i know that you need to set everything equal to y. so for the first one, you would switch it around so that it looks like this:

x+y=3 --> y=3-x [i just subtracted x from both sides]
x-y=3 --> y=x-3 [same idea]

then you graph it and see if they intersect. this one intersects once, so it has one solution. if they don't intersect, there's no solution. and i forgot what happens if there's many solutions.