1. Warm-Up
Graph
Solve for y:
Graph line #2

2. 6.1 Solving Systems of Equations by Graphing
Algebra I
6.1
Solving Systems of Equations
by Graphing

3. All solutions will be in the form: ( x , y )
What’s a system?
Two or more equations.
Y = 3x + 1
Y = 5x – 8
All solutions will be in the form: ( x , y )

4. Solving Systems of Equations: Three Methods
Graphing (6.1)
Substitution (6.2)
Combinations / Elimination (6.3)

5. Graphing One: Single solution – ( x , y )
Infinite: Same Line – so an infinite amount of solutions.
None: Lines are parallel – they never intersect – No Solution.

6. 2 -5 Ex 1. ( __ , __ ) m = ________ b = ___ m = ________ b = ___
y = -3x + 1
y = -2x – 1
m = ________ b = ___
m = ________ b = ___ 2 -5
( __ , __ )

7. -3 1. ( __ , __ ) m = ________ b = ___ m = ________ b = ___ y = 2x + 6
( __ , __ )

8. -2 -4 Ex 2. +3x +3x y = 3x + 2 ( __ , __ ) -2y – 12 = 2x +12 +12
m = ________ b = ___ -2 -4
( __ , __ )
-2y – 12 = 2x
+12
+12
-2y = 2x + 12 -2 -2 -2
y = -1x – 6
m = ________ b = ___

9. 2 -2 2. -4 -4 y = x – 4 ( __ , __ ) 2x + y = 2 -2x -2x y = -2x + 2
m = ________ b = ___ 2 -2
( __ , __ )
2x + y = 2
-2x
-2x
y = -2x + 2
m = ________ b = ___