1. Bell Work 2/23/2015
Solve the system by linear combination.

2. Yesterday’s Homework Any questions?
Please pass your homework to the front.
Make sure the correct heading is on your paper.
Is your NAME on your paper?
Make sure the homework is 100% complete.
Incomplete work will NOT be accepted.

3. Solving Systems by Elimination (multiply)
Heading
9/3/2019
Solving Systems by Elimination (multiply)
TSWBAT: solve a linear system by elimination when first having to make opposites.
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

4. Notes Solving a System by Linear Combination
1. Arrange the like variables in columns.
- This is already done.
2. Pick a variable, x or y, and make the two equations opposites using multiplication.
3. Add the equations together (eliminating a variable) and solve for the remaining variable.
4. Substitute the answer into one of the ORIGINAL equations and solve.
5. Check your solution.

5. Notes Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

6. Notes Solve the system by linear combination.
Now you try.
Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

7. Notes Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

8. Notes Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

9. Notes 1) Arrange the variables.
Now you try.
Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

10. Notes Solve the system by linear combination.
Now you try.
Solve the system by linear combination.
1) Arrange the variables.
Ex.
2) Make opposites.
3) Add and solve for the variable.
4) Substitute into ANY original equation.
5) Check your answer.

11. Summary
To solve a linear system using __________ first multiply one or both of the equations to make _________. Now add up your two _________ and solve for the remaining variable. Plug that solution back into any equation to find the other ________.
elimination
opposites
equations
variable

12. Today’s Homework Rules for Homework Pencil ONLY.
Must show all of your work.
NO WORK = NO CREDIT
Must attempt EVERY problem.
Always check your answers.

13. Homework 6.3B
Solve the system by linear combination.

14. Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the system.