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Algebra
Question

For each system of linear equations shown below, c...

For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent,"  or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its solution.  

 

System A.

Line 1: \( y = \frac { 3 } { 2 } x \)

Line 2: \( - 3 x + 2 y = 0\)

 

System B.  

Line 1: \( y = 2 x \)

Line 2: \( y = \frac { 1 } { 2 } x + \frac { 3 } { 2 }\)

 

System C 

Line 1: \( y = x + 1 \) 

Line 2: \( y = x - 4\)

 

This system of equations is:  

consistent independent  

consistent dependent  

inconsistent  

This means the system has:  

a unique solution, solution: (\(\square\),\(\square\))

infinitely many solutions  

no solution 

Answer

A. consistent dependent, infinite solution

B. consistent independent, unique solution (1,2)

C. inconsistent, no solution

Solution
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