Download Objective: To combine equations by adding or

Vocabulary
• System – 2 equations
• Solution – tells you when 2 equations are
EQUAL to each other, where they intersect
on a graph
Forms of Equations
• Slope Intercept form
– Y = mx + b
– Starts with y =
• Standard Form
– ax + by = c
– x and y are on the same side of the equal
Objective: To combine equations by
adding or subtracting
Equal Values
Method/ Graphing
Y = 2x + 4
Y = 3x – 3
Both slope-intercept
(y=)
Substitution
Elimination
6x + 2y = 18 3x + 2y = 18
Y = 1x + 1
1x + 2y = 6
One equation in
standard form (with x
and y on same side)
Both equations in
standard form (with x
and y on same side)
Objective: To solve systems
using elimination
Objective: To combine equations by
adding or subtracting
a)
2
-2
b) 3x
+ 3x
c) 7x
- 7x
d) 2x
+ -2x
Steps:
1.
2.
3.
4.
Identify the variable that matches
Eliminate the matching variable by + or –
Solve
Go back and find the other variable
I Model
3x + 2y = 18
1x + 2y = 6
1x + 2y = 24
1x + 1y = 18
3x – 2y = 18
1x + 2y = 6
Guided Practice
2x + 1y = 12
1x + 1y = 6
5x + 1y = 10
2x – 1y = 4
5x + 7y = 19
5x + 3y = 11