SOLUTION: How would I solve this by substitution 6x-3y=6 y=2x+5

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Question 69351: How would I solve this by substitution
6x-3y=6
y=2x+5
Found 2 solutions by checkley75, stanbon:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x+5 now substitute (2x+5) for y in the other equation thus:
6x-3(2x+5)=6 now solve for x
6x-6x-15=6
0=-15+6
0=-9 no solution for x thus no soltion for y either.
Thus no single value for x or y will satisfy these two equation as demonstartated by the graphing of these two lines. That is no intersection.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+%2B5%2C+y+=+2x+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x +5 and y = 2x +2).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would I solve this by substitution
6x-3y=6
y=2x+5
------------------------
Substitute for "y" in the 1st equation:
6x-3(2x+5)=6
6x-6x-15=6
-15=6
This contradiction means the system is inconsistent
and has no solution.
Cheers,
Stan H.