1. Complete the DO NOW in your packets

2. Solving Systems of Equations by Graphing
Name: Pd
Algebra /26/09

3. System of Linear Equations:
having more than one linear equation. {
y = 2/5x – y = -3x + 15
is the ordered pair or pairs that satisfy all equations.
Solution to a System of Linear Equations:
x, y
Solution (5, 0) {
2/5(5) – 2 = (5) + 15 = 0

4. { { { Three ways to solve a system of equations:
y = 2/5x – y = -3x + 15
Graphing {
4x – 3y = y = -3x + 15
Substitution {
5x + 3y = x – y = 6
Elimination

5. There are three
possible outcomes
for the solutions
of a system:
One Solution
(1, 1)
Infinite Solutions
(0, -3)
(-1, 2)
(1, 4)
No Solution

6. Ex1: Find the solution to the given system by graphing.{
y = -1x + 3
y = 1/2x – 3
Solution: (4, -1)

7. Ex2: Find the solution to the given system by graphing.{
y = 2x – 5
y = -3/2x + 2
Solution: (2, -1)

8. Ex3: Find the solution to the given system by graphing.{
y = -5
y = -4x + 3
Solution: (2, -5)

9. Ex4: Find the solution to the given system by graphing.{
y = -1/2x + 3
y = -1/2x – 1
No Solution

10. Ex5: Find the solution to the systems by graphing.
2x + 6y = -12
4x – 4y = -8
-2x
-2x
-4x
-4x
Ex5: Find the solution to the systems by graphing.
6y =
-12 – 2x
-4y =
-8 – 4x 6 6 -4 -4
y = -2 –1/3x
y = 2 + x {
2x + 6y = x – 4y = -8
Solution (-3, -1)

11. Ex6: Find the solution to the systems by graphing.
-4x + 8y = 16
6x – 3y = 12
+4x
+4x
-4x
-6x
Ex6: Find the solution to the systems by graphing.
8y =
16 + 4x
-3y =
12 – 6x 8 8 -3 -3
y = 2 + 1/2x
y = x {
-4x + 8y = 16
6x – 3y = 12
Solution (4, 4)

12. Ex7: Find the solution to the systems by graphing.
x – y = 4
-5x + 5y = -20
-1x
-1x
+5x
+5x
Ex7: Find the solution to the systems by graphing.
-1y =
-1x + 4
5y =
5x – 20 -1 -1 -1 5 5 5
y = 1x – 4
y = 1x – 4 {
x – y = x + 5y = -20
Infinite Solutions

13. No homework tonight!
Finish your packets to be collected at the end of the hour
Tomorrow we will continue with solving systems of equations by graphing.