SOLUTION: The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent syste

Algebra ->  Linear-equations -> SOLUTION: The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent syste      Log On


   



Question 575749: The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent system?
A. 2x − 2y = −6
B. x − 2y = −3
C. x − y = 3
D. x − 2y = 3

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent system?
A. 2x − 2y = −6
B. x − 2y = −3
C. x − y = 3
D. x − 2y = 3
**
C would be the correct answer because both straight line equations have the same slope but different y-intercepts. Equations would be independent and the lines would be distinct and parallel.
note: 2x-2y=-6
converts to x-y=-3