Download presentation

Presentation is loading. Please wait.

Published byIris Parks Modified over 8 years ago

1
Goal: Solve systems of linear equations using elimination. Eligible Content: A1.1.2.2.1 / A1.1.2.2.2

2
Elimination Method – the process of adding two equations together to get a variable to cancel out. Also called the Linear Combinations Method. Opposites – two numbers that are the same distance from 0.

3
1. Multiply one or both equations by any numbers that will give you opposite coefficients for a variable. 2. Add the two equations together and solve for the remaining variable. 3. Plug your answer from Step 2 into any equation to solve for the other variable. 4. Write your answer as an ordered pair. 5. Check your answer.

4
2x + 5y = 5 3x + 2y = -9 2x + 5y = 5 2x + 5 * 3 = 5 2x + 15 = 5 - 15 -15 2x = -10 2 2 x = -5 6x + 15y = 15 -6x – 4y = 18 11y = 33 11 11 y = 3 (-5, 3) 3 ( ) -2( )

5
What would you multiply by for each problem? 2x + 3y = 9 and 4x + 4y = 10 -5x – 2y = 10 and 3x + 7y = 12 2x + y = 5 and 3x – 4y = 14 18x + 12y = 90 and 12x + 8y = 72

6
1. 4x + 3y = 16 2x – 3y = 8 (4, 0) 2. -2x + 3y = 12 2x – 8y = -52 (6, 8) 3. 3x + 5y = 6 -4x + 2y = 5 (-0.5, 1.5) 4. 2x + 3y = 0 5x – 6y = 27 (3, -2) 5. -7x + 9y = 3 6x – 4y = 16 (6, 5)

7
Use elimination to solve the system of equations. 3x – 5y = 1 2x + 5y = 9 A.(1, 2) B.(2, 1) C.(0, 0) D.(2, 2)

8
Use elimination to solve the system of equations. 9x – 2y = 30 x – 2y = 14 A.(2, 2) B.(–6, –6) C.(–6, 2) D.(2, –6)

9
Use elimination to solve the system of equations. x + 7y = 12 3x – 5y = 10 A.(1, 5) B.(5, 1) C.(5, 5) D.(1, 1)

10
A.(–4, 1) B.(–1, 4) C.(4, –1) D.(–4, –1) Use elimination to solve the system of equations. 3x + 2y = 10 2x + 5y = 3

11
1. x + 3y = 5 2x – 3y = 1 2. 4x – 3y = 0 2x + 4y = -22 3. 5x + 7y = 31 2x + 3y = 12 (2, 1) (-3, -4) (9, -2)

12
Page 354 #8-12 even Page 360 #8-12 even

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google