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

2. Essential Question
How do you solve a systems of equations?

3. 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

4. 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

5. Practice: (see worksheet)

6. Practice: (see worksheet)

7. Practice: (see worksheet)

8. 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?