2. Bell Work2/24/2015 Solve the system by linear combination.

3. Yesterday’s Homework 1.Any questions? 2.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.

4. Solving Systems by Elimination -# of solutions 2/18/2016 Heading TSWBAT: solve a linear system by elimination and determine the number of solutions. 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.

5. 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.

6. Notes Number of Solutions for a Linear System One solution No solution Infinite solutions (Parallel Lines) (Same Lines) AB C

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

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

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

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

11. Summary When solving a system using __________ if you ever get 0 = #, the answer is ___ ________. If you ever get 0 = 0, the answer is _______ _________. elimination NoSolution InfiniteSolutions

12. Today’s Homework 1.Pencil ONLY. 2.Must show all of your work. NO WORK = NO CREDIT 3.Must attempt EVERY problem. 4.Always check your answers. Rules for Homework

13. Homework6.3C Solve the system by linear combination.

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