<PRE><B>Question 163088</B>
x+4y=5 
x=6-4y 
x+4y=6 
x+4y=5 now subtract. 
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0x+0x=1 No solution for x or y.
When plotted these two lines are parallel.
4y=-x+5 or y=-x/4+5/4 (red line) 
4y=-x+6 or y=-x/4+6/4 or y=-x/4+3/2 (green line)
{{{ graph( 300, 200, -5, 5, -3, 3, -x/4 +5/4, -x/4 +3/2) }}} (graph 300x200 pixels, x from -5 to 5, y from -3 to 3, of TWO functions -x/4 +5/4 and -x/4 +3/2). 

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