SOLUTION: Solve each of the following systems by graphing: x - 2y = 8 3x - 2y = 12 and 3x - 6y = 9 x - 2y = 3

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve each of the following systems by graphing: x - 2y = 8 3x - 2y = 12 and 3x - 6y = 9 x - 2y = 3      Log On


   

Question 107522: Solve each of the following systems by graphing:
x - 2y = 8
3x - 2y = 12
and
3x - 6y = 9
x - 2y = 3
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x-2y=8 or -2y=-x+8 or y=-x/-2+8/-2 or y=x/2-4 (red line)
3x-2y=12 or -2y=-3x+12 or y=-3x/-2+12/-2 or y=3x/2-6 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2+-4%2C+y+=+3x%2F2+-6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -4 and y = 3x/2 -6).
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3x-6y=9 or -6y=-3x+9 or y=-3x/-6+9/-6 or y=x/2-3/2 (red line)
x-2y=3 or -2y=-x+3 or y=-x/-2+3/-2 or y=x/2-3/2 (green line)
these 2 equations are identical therefore there is no unique solution or no intersect.
+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).