Question 300001
For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, answer the question about its solutions. 
First,
L1:y= 2x-1
L2: -2x+y=-1
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Putting L2 in slope-intercept form you get:
y = 2x-1
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The two equations are the same so they are dependent.
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The system of equations is:
inconsistent, consistent dependent, consistent independent
This means:
a unique solution ( , )----No
infinitely many solutions--Yes
No solution---No
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Second,
L1: y= 3/2x - 2
L2:y= 3/2 x
The system of equations is:
inconsistent, consistent dependent, consistent independent
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Ans: Inconsistent
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This means:
a unique solution ( , ):::No
infinitely many solutions:No
No solution:::Yes
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Third,
L1:y= -1/2x-2
L2 y= x+1 
The system of equations is:
inconsistent, consistent dependent, consistent independent
Ans: Consistent
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This means:
a unique solution ( , ):::Yes
infinitely many solutions::No
No solution:::No
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Cheers,
Stan H.