SOLUTION: 12. Select the correct type of system represented by the following system: 6x + 2y = 10 3x + y = 5 A. Consistent and independent B. Inconsistent C. Consistent and depen

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Question 428660: 12. Select the correct type of system represented by the following system:
6x + 2y = 10
3x + y = 5
A. Consistent and independent
B. Inconsistent
C. Consistent and dependent
D. None of these


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
6x + 2y = 10
3x + y = 5
6x + 2y = 10
-6x- 2y = -10
0 = 0 this is a dependent system with infinitely many solutions
Represent the 'same' Line when graphed
A consistent system has at least one solution.
An inconsistent system has no solutions.
An independent system has exactly one solution.
A dependent system has infinitely many solutions.

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