The equations of linear system are
.
For ease of graphing, rewrite the equation 1:
in slope - intercept form.
Add 2x to each side.
\

.
Divide each side by 2.
\
Cancel common terms.
\
.
The slope of
is 1 and its y - intercept is
.
For ease of graphing, rewrite the equation 2:
in slope - intercept form.
Subtract 3x from each side.
\


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

Observe the graph, the two lines have different slopes.The two lines are intersect at only one point
, so the linear system has one solution.
The linear system has one solutions.