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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

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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) About Me  (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.