SOLUTION: how many solutions does 2x+y=3 2y-6=-4X have??

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Question 353644: how many solutions does 2x+y=3 2y-6=-4X have??

Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x%2By=3
.
.
.
2y-6=-4x+
2.4x%2B2y=6
Multiply eq. 1 by (-2) and add to eq. 2,
-4x-2y%2B4x%2B2y=-6%2B6
0=0
Eq. 1 and eq. 2 are the same line.
There are an infinite number of solutions.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
2x+y=3
2y%2F2-6%2F2=-4x%2F2 = y-3=-2x = 2x%2By=3 this is the same line as the other equation for the line so they have infinitly many solutions
x=x and y=y