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(35256) 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

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).