Resources  Testimonials
Plans
Resources  Testimonials
Plans
Worksheet

# Solve A System Of Equations By Elimination Worksheet

## 8 problems   A system of equations is a set of two or more equations that contain the same variables. A system of equations can be solved using various methods, one of which is elimination.

Elimination method, also known as the addition method, is a technique used to solve a system of equations by adding or subtracting the equations to eliminate one of the variables. The goal of the elimination method is to create a new equation with one variable, which can then be solved to find the value of that variable.

Systems Of Equations
8.EE.C.8.B

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

1. 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.
2. 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?

1. Practice and reinforcement: Worksheets provide an opportunity for students to practice and reinforce the concept of solving a system of equations by elimination.
2. 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.
3. 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.

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.

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

1. 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.
2. 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.
Show all

### What teachers are saying about BytelearnWhat teachers are saying  Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.  Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”  Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”