SOLUTION: Solve each of the following systems by graphing. 3x-6y=9 x-2y=3

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Question 74722: Solve each of the following systems by graphing.
3x-6y=9
x-2y=3

Found 2 solutions by jim_thompson5910, checkley75:
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Solve both equations for y
3x-6y=9
-6y=9-3x
y=-9%2F6%2B%283%2F6%29x
y=-3%2F2%2B%281%2F2%29x
x-2y=3
-2y=3-x
y=-3%2F2%2B%281%2F2%29x
Notice how it's identical to the first equation. This means they are the same line and will have an infinite number of solutions
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3%2F2%2B%281%2F2%29x%2C-3%2F2%2B%281%2F2%29x%29+

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
3x-6y=9, -6y=-3x+9, y=-3x/-6+9/-6, y=x/2-3/2
x-2y=3, -2y=-x+3, y=-x/-2+3/-2, y=x/2-3/2
These two equations evolve into the same equation. Thus:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2+-3%2F2%2C+y+=+x%2F2+-3%2F2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -3/2 and y = x/2 -3/2).