The equations of linear system are
.
For ease of graphing, rewrite the equation 1:
in slope - intercept form.
Add 3x to each side.
\

.
Divide each side by 4.
\
Cancel common terms.
\
.
The slope of
is
and its y - intercept is 3.
For ease of graphing, rewrite the equation 2:
in slope - intercept form.
Add 3x to each side.
\

.
Divide each side by 4.
\
Cancel common terms.
\
.
The slope of
is
and its y - intercept is 6.
The equations
of graph in the same coordinate plane is

Observe the graph, the two lines are parallel because they have same slope but different y - intercepts.The parallel lines do not intersect, so the linear system has no solution.
The linear system has no solution.