SOLUTION: solve if possible by any method 3x+y=6 y+x=5-2x provide values for both ex: (x,y)

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Question 851553: solve if possible by any method
3x+y=6
y+x=5-2x
provide values for both ex: (x,y)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x%2By=6
2.y%2Bx=5-2x
From eq. 1,
y=6-3x
From eq. 2,
y=5-3x
Set them equal to each other since they both equal y,
6-3x=5-3x
6=5
False.
So this system is inconsistent.
The lines are parallel and never meet, hence there is no solution.