Question

this system of equations is:
consistent independent
consistent dependent
inconsistent
this means the system has:
a unique solution
solution: ( , )
infinitely many solutions
no solution

this system of equations is:
consistent independent
consistent dependent
inconsistent
this means the system has:
a unique solution
solution: ( , )
infinitely many solutions
no solution

this system of equations is:
consistent independent
consistent dependent
inconsistent
this means the system has:
a unique solution
solution: ( , )
infinitely many solutions
no solution

Explanation:

First System (Left Panel)

The two lines are parallel and never intersect. A system with parallel, non-overlapping lines is inconsistent, meaning it has no solution.

The two lines intersect at exactly one point. A system with intersecting lines is consistent independent, which has exactly one unique solution (the intersection point, which appears to be $(3,4)$ from the graph).

The two lines are exactly the same (coinciding). A system with coinciding lines is consistent dependent, meaning there are infinitely many solutions (all points on the line).

Answer:

This system of equations is: $\boldsymbol{\text{inconsistent}}$
This means the system has: $\boldsymbol{\text{no solution}}$

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Second System (Middle Panel)