1. Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y

2. Visualize all of the possible solutions to 2 lines
1 solution as an
Ordered pair
Infinitely man solutions—same line
No solution– Parallel Lines

3. Solving Systems of Linear and Quadratic Equations

4. Remember these? Systems of Linear Equations
We had 3 methods to solve them.
Method 1 - Graphing
Solve for y.
(6, – 4)

5. Remember these? (6, – 4) Systems of Linear Equations
Method 2 - Substitution
(6, – 4)

6. Remember these? (6, – 4) Systems of Linear Equations
Method 3 - Elimination
All 3 methods giving us the same answer (6,–4).
(6, – 4)

7. Now let’s look at
Systems of
Linear and Quadratic
Equations!

8. Visualize all of the possible solutions to a Line & a Parabola
1 solution as an
Ordered pair
2 solutions
No solution

9. Solve the System Algebraically Use Substitution
(0, 1)
(1, 2)
Answer: (0,1) (1,2)

10. Solve the System Algebraically Use Substitution
(2, 2)
Answer: (2,2)

11. Homework
(BK) Pg 202, 8 – 16