1. Section 6.3 Elimination/linear combination
Solve systems of linear equations using elimination.
SWBAT:

2. Definitions Linear Combination (elimination method):
Eliminate one of the variables by adding or subtracting the equations.

3. Solve By Linear Combination/Elimination
STEP 1: Standard form Ax + By = C
STEP 2: Multiply so x or y will cancel out.
(you want one of the variables to be opposites.)
STEP 3: Add and solve
STEP 4: find other variable.
STEP 5: Check
Note: We are not doing step 2 today

4. Ex. 1: Solve the System – Elimination
4x + 6y = 32
3x – 6y = 3

5. Ex. 2: Solve the System – Elimination
-4x + 3y = -3
4x – 5y = 5

6. Ex. 3: Solve the System – Elimination
4y + 3x = 19
3x – 4y = 5

7. Ex. 4: Solve the System – Elimination
Pg 349 # 2
The sum of two numbers is Negative three times the first number minus the second number equals 2. Find the numbers.
x + y = -10
-3x – y = 2

8. Ex. 5: Solve the System – Elimination
Pg 351 # 5
The sum of two numbers is 24. Five times the first number minus the second number is 12. What are the two numbers?
x + y = 24
5x – y = 12

9. Did We Reach Our Objective?
Solve systems of linear equations using linear combination

10. Homework
Section 6.3
8-18 evens