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.