Integrated Math 2Lesson #7

Systems of Equations - Elimination

Mrs. Goodman

Elimination Method (Linear Combination)

Step 1: Multiply one or both of the equations by a constant to obtain coefficients that differ only in sign for one of the variables. (Ex: 2x and -2x; 3y and -3y)

Elimination Method (Linear Combination)

Step 2: Add the revised equations from Step 1.

This should eliminate one of the variables. Solve for the other variable.

Elimination Method (Linear Combination)

Step 3: Substitute the value found in Step 2 into either of the original equations and solve for the other variable.

Examples

Solve:

6x – y = 142x + y = 12

Examples

Solve:

3x + y = 14x – 5y = 25

That’s all for today!

Thanks for working hard!

See you next time!