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Algebra
Question

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

A. consistent dependent, infinite solution

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

C. inconsistent, no solution

Solution
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