The system of equations are and
.
Rewrite the equations as and
.
a. \ \ TABULAR:
\The table of and
-values for each equation.
Equation 1: .
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Equation 2: .
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Equation 3: .
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b.
\ANALYTICAL:
\Equations and
intersect at
.
Equations and
intersect at
and
Equations and
intersect at
.
There is no solution that satisfies all three equations.
\ \ \
c.
GRAPHICAL:
\The graph of three equations on a single coordinate plane is
\d.
\VERBAL:
\If all three lines intersect at the same point, then the system has a solution.
\The system has no solution if the lines intersect at different points or if two or three lines are parallel.
a.
\Tables:
\Equation 1: .
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Equation 2: .
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Equation 3: .
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b.
\There is no solution that satisfies all three equations.
\c.
\d.
\The system has no solution if the lines intersect at different points, or if two or three lines are parallel.