SOLUTION: Determing if these two lines are either Parallel, intersecting or coincident Line 1 2x+3y=5 Line 2 x-3/2y=10 Show work

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Question 215099: Determing if these two lines are either Parallel, intersecting or coincident
Line 1 2x+3y=5
Line 2 x-3/2y=10

Show work
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Line 1 2x+3y=5
3y=-2x+5
y=-2x/3+5/3 (red line)
Line 2 x-3/2y=10
-3y/2=-x+10
y=-x/(-3/2)+10/(-3/2)
y=-x*-2/3+10*-2/3
y=2x/3-20/3 (green line)
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+-2x%2F3+%2B5%2F3%2C+2x%2F3+-20%2F3%29+ (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, of TWO functions -2x/3 +5/3 and 2x/3 -20/3).
These are intersecting lines.