SOLUTION: For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, answer the question about its sol

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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
The system of equations is:
inconsistent, consistent dependent, consistent independent
This means:
a unique solution ( , )
infinitely many solutions
No solution
Second,
L1: y= 3/2x - 2
L2:y= 3/2 x
The system of equations is:
inconsistent, consistent dependent, consistent independent
This means:
a unique solution ( , )
infinitely many solutions
No solution
Third,
L1:y= -1/2x-2
L2 y= x+1
The system of equations is:
inconsistent, consistent dependent, consistent independent
This means:
a unique solution ( , )
infinitely many solutions
No solution
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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
---
Putting L2 in slope-intercept form you get:
y = 2x-1
---
The two equations are the same so they are dependent.
-----------------------------------------------------------
The system of equations is:
inconsistent, consistent dependent, consistent independent
This means:
a unique solution ( , )----No
infinitely many solutions--Yes
No solution---No
===========================================
Second,
L1: y= 3/2x - 2
L2:y= 3/2 x
The system of equations is:
inconsistent, consistent dependent, consistent independent
-------
Ans: Inconsistent
-------
This means:
a unique solution ( , ):::No
infinitely many solutions:No
No solution:::Yes
======================================
Third,
L1:y= -1/2x-2
L2 y= x+1
The system of equations is:
inconsistent, consistent dependent, consistent independent
Ans: Consistent
-----------------------------
This means:
a unique solution ( , ):::Yes
infinitely many solutions::No
No solution:::No
========================================
Cheers,
Stan H.