The equations of linear system are
.
For ease of graphing, rewrite the equation 1:
in slope - intercept form.
Subtract 3x from each side.
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.
Multiply each side by negative 1.
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.
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The slope of
is 3 and its y - intercept is 9.
For ease of graphing, rewrite the equation 2:
in slope - intercept form.
Subtract 3x from each side.
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Divide each side by 5.
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Cancel common terms.
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.
The slope of
is
and its y - intercept is
.
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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.
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The linear system has one solutions.