KATE'S MATH LESSONS
  • Home
  • LESSONS
    • Pre-Algebra
    • Algebra 1
    • Geometry
    • Algebra 2
  • About
  • Contact
  • Blog
  • Shop
  • Courses
  • Home
  • LESSONS
    • Pre-Algebra
    • Algebra 1
    • Geometry
    • Algebra 2
  • About
  • Contact
  • Blog
  • Shop
  • Courses
Elimination Method (Level 2)           page 3 of 5

Example 1

Solve the system.   2x - 5y = 6   and  3x + y = 26

Step 1: Use multiplication to create terms that are opposites. 
We can create opposites by multiplying the entire 2nd equation by 5.  This will give us a 5y and a -5y that will cancel.
How do you use the elimination method in algebra?

Step 2: Add the equations vertically.
Now that we've created terms that are opposites, one of the variables will cancel out when we add the equations.
How do you use the addition method/elimination method to solve a system of equations?

Step 3: Solve for the first variable.​
The y terms canceled, so we can solve the equation that's left.
Elimination method example.

Step 4: Solve for the second variable.
Go back to one of the original equations (you can choose either one) and plug in 8 for x.
How to find the second variable when using the elimination/addition method to solve a system of equations.

Step 5: Write answer as ordered pair.
Make sure to put the variables in alphabetical order when you write the ordered pair.
Write answer to system of equations as ordered pair.

Step 6: Check your answer.
Use the original equation that you didn't use earlier. If you use the same equation twice, it will not find a mistake.
How do you check your answer to a system of equations?
Picture
Picture
 1      2      3      4       5
Want to try one of my digital math activities for free?  Click the link to grab the teacher version or student version.

Home

About

Privacy Policy

Lessons

Contact

Copyright © 2015 - 2021 Kate's Math Lessons