The equations of linear system are
.
For ease of graphing, rewrite the equation 1:
in slope - intercept form.
Subtract 6x from each side.
\

.
The slope of
is
and its y - intercept is 36.
For ease of graphing, rewrite the equation 2:
in slope - intercept form.
Subtract 5x from each side.
\

.
Multiply each side by
.

.
The slope of
is 5 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 solution.