Find All the Solutions to the Given System, and Check $\begin{aligned}- 2 x + 3 y & = - 1 \\x - \frac { 3 } { 2 } y & = \frac { 1 } { 2 }\end{aligned}$

Find all the solutions to the given system, and check your answer graphically.
$\begin{aligned}- 2 x + 3 y & = - 1 \\x - \frac { 3 } { 2 } y & = \frac { 1 } { 2 }\end{aligned}$
If the equations of the system are redundant, or if a system is inconsistent, so indicate.

A) $\left( 0 , - \frac { 1 } { 3 } \right)$
B) $\left( \frac { 1 } { 2 } , 0 \right)$
C) $( 0,0 )$
D) inconsistent
E) redundant

Correct Answer:

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