SOLUTION: How do I determine if these are consistent or inconsistent? 2x + y = 7 x - 2y = 7

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How do I determine if these are consistent or inconsistent? 2x + y = 7 x - 2y = 7      Log On


   

Question 330868: How do I determine if these are consistent or inconsistent?
2x + y = 7
x - 2y = 7
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x and y.
If you get a solution, it's consistent.
If you get a result of "0=0", it's consistent (they are the same line).
Any other result, it's inconsistent (they are parallel lines).
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Multiply the first equation by 2 and add to the second,
4x%2B2y%2Bx-2y=7
5x=7
x=7%2F5
Then use either equation to solve for y.
Since you have a solution, the system is consistent.