1. Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33

2. 5.3 Solving Linear Systems by Elimination Objective: Solve a system of linear equations by linear combinations.

3. EXAMPLE 1 Linear Combination Solve the linear system. 4x + 3y = 16 Equation 1 2x – 3y = 8 Equation 2 Step 1: Line up equations Step 2: Add both equations to cancel out one of the variables. Step 3: Solve for the remaining variable Step 4: Substitute your answer for step 3 into either equation to solve for the other variable. 6x = 24 x = 4

4. Solve the linear system. Then check your solution Checkpoint Add the Equations 1. 6y = 12Step 2 Step 1 y = 2 Step 3 Step 4

5. Solve the linear system. Then check your solution Try It Out! 2.

6. Try It Out! 1) x + 3y = 6 2) 3x - 4y = 7 3) 2y = 2x – 2 x – 3y = 12 -8x+ 4y = -12 2x + 3y = 12 x – 3y = 12 -8x+ 4y = -12 2x + 3y = 12

7. Homework Page 268 - 269 #1 - 4 & 7 - 10

8. Warm Up 1) x + 3y = 2 2) 3x - 4y = 7 3) y = 2x – 2 x – 3y = 12 -3x+ 4y = -12 2x + 4y = 12 x – 3y = 12 -3x+ 4y = -12 2x + 4y = 12

9. EXAMPLE 2 Multiply Then Add Solve the linear system. 3x + 5y = 6 Equation 1 -4x + 5y = 15 Equation 2

10. EXAMPLE 2 Multiply Then Add Solve the linear system. 3x + 5y = 6 Equation 1 -4x + 2y = 5 Equation 2

11. Solve the linear system. Then check your solution Checkpoint Multiply Then Add 3.

12. Solve the linear system. Then check your solution Try It Out! 4.

13. In Class Assignment Page 269 #11 - 22