1. Objective: To solve systems of second degree equations
Section 6.6
Objective: To solve systems of second degree equations

2. Warm Up: Complete the table

3. 𝑥 2 + 𝑦 2 =9 𝑥 2 + x−3 2 =9 y=x−3 𝑥 2 + 𝑥 2 −3𝑥−3𝑥+9=9 2𝑥 2 −6𝑥=0
1. Solve algebraically by substitution.
𝑥 2 + 𝑦 2 =9
𝑥 2 + x−3 2 =9
y=x−3
𝑥 2 + 𝑥 2 −3𝑥−3𝑥+9=9
2𝑥 2 −6𝑥=0
2𝑥(𝑥−3)=0
𝑥=0
𝑥=3
y=0−3=−3
y=3−3=0
(0,−3)
(3,0)

4. 1. Solve graphically on the calculator.
𝑥 2 + 𝑦 2 =9
y=x−3
(0,−3)
(3,0)

5. 2.
by elimination.
Multiply by 2

6. 2.

7. Graphically Graph the top half and use symmetry. 𝑦= −𝑥 2 +203.
Graphically
Graph the top half and use symmetry.
𝑦= −𝑥 2 +20
𝑦= 10− 𝑥−

8. 3.
Algebraically
p.243

9. Homework
Page 244 #1, 5, 9, 11, 15