$\"\"$

\

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: $\"\"$ )

\

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

\

$\"\"$ (Cancel common terms)

\

Case (ii):

\

$\"\"$ (Original equation)

\

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

\

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

\

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

\

$\"\"$ (Cancel common terms)

\

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

\

$\"\"$

\

Graph:

\

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

\

$\"\"$

\

Observe the graph:

\

The two lines are parallel lines.

\

Therefore, there is point of intersection.

\

The solution of the system is $\"\"$ .

\

$\"\"$

\

The solution of the system is $\"\"$ .