$\"\"$

The system of equations are $\"\"$ and $\"\"$ .

The slope-intercept form of line equation is $\"\"$ .

Rewrite the equations in standard form.

Case(i):

$\"\"$ (Original equation)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

Case(ii):

$\"\"$ (Original equation)

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Cancel common terms)

The system of equation are $\"\"$ and $\"\"$ .

$\"\"$

Graph:

Graph the equations are $\"\"$ and $\"\"$ :

$\"\"$

Observe the graph:

The lines are parallel.

They do not intersect and there is no solution.

So, the system is inconsistent.

$\"\"$

The lines are parallel and the system is inconsistent.