1. Algebra 2 09/23/16 EQ: What is a solution to a system of equations
Algebra 2 09/23/16 EQ: What is a solution to a system of equations? How do I solve a system of equation using a graph and substitution method? HW: Worksheet WU: Graph the lines on the same graph and circle where they intersect y = 2x x +4y = 12

2. System of Equations System of Equations Solution How do we solve it?
Two or more lines working together
Solution
Where lines meet
One solution (different slopes)
No solution (parallel lines – same m, different b)
Infinite many solutions (same line)
How do we solve it?
Graphing
Substitution
Elimination

3. Problem 1
Your employer gives you two options for your salary. Option A - $20 per hour Option B - $10 per hour and $100 bonus How many hours do you have to work so your income will be the same? What will that value be?

4. Solving Create equation for each option y = 20x Graphing y = 10x + 100
Option A:
Option B:
Graphing
(10, 200)
y = 20x
y = 10x + 100
100 5 10

5. Substitution
A: y = 20x B: y = 10x +100 y = 20 x A = B 20x = 10x x = 100 x = 10 y = 20 (10) y = 200 (10, 200)

6. Solve by graphing and substitution
y = 4x + 3 x + y = -2

7. Solve by graphing and substitution
y = 4x x + 2y = 16

8. Solve by using any method
2x – 3y = –2 y = –4x + 24 What method are you going to use? Why? (5,4)