\"\"

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The system of equations are \"\" and \"\".

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Rewrite the equations as \"\" and \"\".

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a. \ \ TABULAR:

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The table of \"\" and \"\"-values for each equation.

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Equation 1: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

 Equation 2: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

Equation 3: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

\"\"

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b.

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ANALYTICAL:

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Equations \"\" and \"\" intersect at \"\".

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Equations \"\" and \"\" intersect at \"\" and

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Equations \"\" and \"\" intersect at \"\".

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There is no solution that satisfies all three equations.

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\"\" \ \ c.

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GRAPHICAL:

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The graph of three equations on a single coordinate plane is

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\"\"

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\"\"

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d.

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VERBAL:

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If all three lines intersect at the same point, then the system has a solution.

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The system has no solution if the lines intersect at \"\" different points or if two or three lines are parallel.

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\"\"

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a.

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Tables:

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Equation 1: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

Equation 2: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

Equation 3: \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

b.

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There is no solution that satisfies all three equations.

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c.

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\"\"

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d.

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The system has no solution if the lines intersect at \"\" different points, or if two or three lines are parallel.