To use the elimination method to solve a system of equations, one of the equations is multiplied by a constant so that when the two equations are added or subtracted, one of the variables will cancel out.
For example, consider the following system of equations:
3x + 2y = 12
4x - 3y = 5
One way to eliminate the y variable is to multiply the first equation by -3 and add it to the second equation:
(3x + 2y = 12) * -3 + (4x - 3y = 5)
-9x - 6y = -36 + 4x - 3y = 5
-5x = -31
x = 6
Now that we have x = 6, we can substitute this back into one of the original equations to find y
3x + 2y = 12
3(6) + 2y = 12
18 + 2y = 12
2y = -6
y = -3
So the solution of the system of equations is x = 6
Teaching a system of equations by elimination Easily
- Using real-world examples: Provide students with real-world examples of situations that involve systems of equations, such as in physics, engineering or economics. This can help students understand the concept and apply it to new situations.
- Guided practice: Provide students with guided worksheets that involve solving a system of equations using the elimination method. Start with simple examples and gradually increase the difficulty level.
Why Should You Use A System of Equations By Elimination Worksheet For Your Students?
- Practice and reinforcement: Worksheets provide an opportunity for students to practice and reinforce the concept of solving a system of equations by elimination.
- Self-paced learning: Worksheets allow students to work at their own pace and level, which can be helpful for students who may need more practice or who may be working at a faster pace than their peers.
- Encourage independent practice: By providing worksheets that involve solving a system of equations by elimination, students can work independently and learn how to solve problems on their own.
Download Solve A System Of Equations By Elimination Worksheets PDF
You can download and print these super fun solve a system of equations by elimination 8th grade pdf from here for your students. You can also try our Solve A System Of Equations By Elimination Problems and Solve A System Of Equations By Elimination Quiz as well for a better understanding of the concepts.