SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 3x - 3y = -9 9x - 9y = -27 Determine whether the system is consistent, inconsistent, or dependent. 2x

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 3x - 3y = -9 9x - 9y = -27 Determine whether the system is consistent, inconsistent, or dependent. 2x       Log On

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Question 263429: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Determine whether the system is consistent, inconsistent, or dependent.
2x + 2y = 2
6x + 6y = 6
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Lets take these one at a time:
Determine whether the system is consistent, inconsistent, or dependent.
(i) 3x+-+3y+=+-9
(ii) 9x+-+9y+=+-27
step 1 - multiply (i) by -3 to get
(iii) -9x+%2B+9y+=+27
step 2 - add (ii) and (iii) to get
(iv) 0+%2B+0+%2B+0
Here we have dependent , consistent
Determine whether the system is consistent, inconsistent, or dependent.
(i) 2x+%2B+2y+=+2
(ii) 6x+%2B+6y+=+6
step 1 - multiply (i) by -3 to get
(iii) -6x+-6y+=+-6
step 2 - add (ii) and (iii) to get
(iv) 0+%2B+0+%2B+0
Here we have dependent , consistent