SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 2x + 2y = 2 6x + 6y = 6 (Points : 1) Inconsistant Consistent Dependent Any help wou

Algebra ->  Linear-equations -> SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 2x + 2y = 2 6x + 6y = 6 (Points : 1) Inconsistant Consistent Dependent Any help wou      Log On


   

Question 374345: Determine whether the system is consistent, inconsistent, or dependent.
2x + 2y = 2
6x + 6y = 6 (Points : 1)
Inconsistant
Consistent
Dependent
Any help would be great and thanks
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
As equation 1 and 2 are linearly dependent, the system is dependent.

With Cramer's rule, delta=2*6-6*2=0, the system is either inconsistent or dependent (either no solution or an infinity)

Since deltax=deltay=delta=0, the system is dependent.