SOLUTION: Solve this system of linear equations by graphing 3x-6y=9 x-2y=3 i have try but cant seem to get the hang of it

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Question 121707: Solve this system of linear equations by graphing 3x-6y=9
x-2y=3
i have try but cant seem to get the hang of it
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x-6y=9
2.x-2y=3
I think the easiest way to graph is to find the x and y intercepts.
Find the intercepts.
Plot them.
Draw the line.
Start with Equation 1.
1.3x-6y=9
When y=0, then
3x-6%280%29=9
x=3
First point (3,0)
drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2Ccircle%28+3%2C0%2C+.2+%29%29
When x=0, then
3%280%29-6y=9
y=-3%2F2
Second point (0,-3/2)

Then draw the line containing the two points.

Now continue with Equation 2.
2.x-2y=3
When y=0, then
x-2%280%29=3
x=3
First point (3,0)

When x=0, then
0-2y=3
y=-3%2F2
Second point (0,-3/2)
As you can see, the two lines have the same x and y intercepts.
They are the same line.
They are a linearly dependent system of equations and they have an infinite number of solutions.