Solve the system by the addition method. Determine whether the equations are independent, dependent or inconsistent. 
4x+3y = 2
-12x – 9 y = - 6
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Multiply thru the 1st equation by 3 to get:
12x + 9y = 6
-12x- 9y = -6
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Addiing you get:
0 = 0
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That means the two equations have the same graph.
The system is said to be "dependent".
The solution set is the set of points of the line.
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Cheers,
Stan H.