Download presentation

Presentation is loading. Please wait.

Published byPierce Fox Modified over 8 years ago

1
Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method

2
Example 1 x – y = 7 x + y = 3 2x + 0y = 10 2x = 10 x = 5 x + y = 3 5 + y = 3 y = -2 (5,-2) Solve using the elimination method. REMEMBER: Always check your solution in the original equations!

3
Example 2 2x + 3y = 11 -2x + 9y = 1 0x + 12y = 12 12y = 12 y = 1 2x + 3y = 11 2x + 3(1) = 11 2x + 3 = 11 2x = 8 x = 4 (4,1) Solve using the elimination method.

4
Example 3 Solve using the elimination method. 3x – y = 8 x + 2y = 5 write in standard form 3x – y = 8 multiply as needed (-3) ( ) (-3) 3x – y = 8 -3x – 6y = -15 addition property -7y = -7 y = 1 3x - (1) = 8 3x = 9 x = 3 (3,1)

5
Example 4 4x – 3y = 15 write in standard form 8x + 2y = -10 multiply as needed(-2) ( ) (-2) 8x + 2y = -10 -8x + 6y = -30 addition property 8y = -40 y = -5 8x + 2(-5) = -10 8x - 10 = -10 8x = 0 x = 0 (0,-5) Solve using the elimination method.

6
Practice 1) Solve using the elimination method. 2) 3)4) 5)2x + ⅔y = 4 x - ½y = 7

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