SOLUTION: solve the following by any method x=3/2y + 2 2x - 3y =4 the equations are dependent the system is inconsistent

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Question 162481: solve the following by any method
x=3/2y + 2
2x - 3y =4
the equations are dependent
the system is inconsistent
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
6x + 6y =5
6x - 6y =3
Are they parallel, perpendicular or neither?
6x+6y=5
6y=-6x+5
y=-6x/6+5/6
y=-x+5/6 (red line)
6x-6y=3
-6y=-6x+3
y=-6x-6+3/-6
y=x-1/2 (green line).
Because the slopes (m) are negative recipricals then these 2 lines are perpendicular as shown by the following graph.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-x+%2B5%2F6%2C+x+-1%2F2%29+ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -x +5/6 and x -1/2).