Solving Systems of Linear Equations and Inequalities Graphically

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Presentation transcript:

Solving Systems of Linear Equations and Inequalities Graphically Chapter 7 Section 1 Solving Systems of Linear Equations and Inequalities Graphically

Essential Question How do you solve a systems of equations?

Key Information about Systems of Equations Solved when we find one ORDERED PAIR of solutions that satisfies BOTH equations Solve by: graphing, substitution, elimination < indicates to shade BELOW > indicates to shade ABOVE

Line Relationships Independent: lines intersect at ONE point, only one ordered pair (AKA coordinate) satisfies both equations Inconsistent: lines do NOT intersect at all, lines are parallel (same slope) Dependent: the lines COINCIDE (overlap), looks like the same line because the equations are identical or multiples, and any ordered pair satisfies both equations

Practice: (see worksheet)

Practice: (see worksheet)

Practice: (see worksheet)

Practice: (see worksheet) At the Munchies Store, caramel corn selling at $2.50 per pound is mixed with local honey roasted nuts selling at $7.50 per pound in order to get 20 lb of a mixture to sell at $4.50 per pound. How much of each snack is used for this mixture?