SOLUTION: I need help solving each system by addition, and determine whether the equations are independent, dependent, or inconsistent. Here is the problem. x- y=3 -6x+6y=17.

Question 805993: I need help solving each system by addition, and determine whether the equations are independent, dependent, or inconsistent. Here is the problem.
x- y=3
-6x+6y=17.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
determine whether the equations are independent, dependent, or inconsistent. Here is the problem.
x- y=3
-6x+6y=17.
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Multiply thru the 1st equation by 6::
6x - 6y = 18
-6x + 6y = 17
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Add to get:
0 = 35
That is a contradiction::
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Note: This contradiction happened because I assumed
the x's and the y's in the two equations had the same variable value.
------
The system is inconsistent.
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