SOLUTION: y = 1/2x + 1 2y - x = 6 How many solutions does this system have?(: -none, one, or ifinite?

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Question 608019: y = 1/2x + 1
2y - x = 6
How many solutions does this system have?(:
-none, one, or ifinite?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Get the equations into the same form
(1) +y+=+%281%2F2%29%2Ax+%2B+1+
and
+2y-+x+=+6+
+2y+=+x+%2B+6+
(2) +y+=+%281%2F2%29%2Ax+%2B+3+
These are straight lines with the same slope which
only differ by a constant.
So, they are parallel lines and have no solution
since they don't intersect
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Here's a plot: