Elimination Jeopardy

How to Eliminate

100

What must you do before you add or subtract your equations?

Line up your terms / check if you will eliminate a term / Multiply your equation if needed

200

How can you check your solution? 

Plug it back into both original equations and get true statements.

300

After you have found one of the variables what is the next step. 

Solve for the remaining variable

400

When using the elimination method what are you trying to find (what will your answer be?)

The solution to the system

500

What do you do if your equations will not eliminate if you were to add or subtract them?

Multiply an equation by a number so that they will eliminate

Multiplying Equations by Numbers

100

Multiply 2x + 8y = 4 by 3

6x + 24y = 12

200

Multiply 4x - 6y = 1 by 7

28x -42y = 7

300

Multiply 3x + 3y = 8 by 5

15x + 15y = 40

400

Multiply 10x + 4y = 3 by -2

-20x - 8y = -6

500

Multiply 7x + 9y = 3 by -1

-7x - 9y = -3

What to Multiply by

100

What should you multiply the top equation by so the x value will be eliminated when you add?

3x + 298y = 999

-6x - 654y = 0

2

200

What should you multiply the top equation by so the y value will be eliminated when you add?

554x -5y = 420

345x + 20y = 69

4

300

What should you multiply the top equation by so the x value will be eliminated when you add?

3x + 7083y = 666

18x + 2023y = 1234567

-6

400

What should you multiply the top equation by so the y value will be eliminated when you add?

88x - 5y = 0

54x + 5y = 12

Nothing

500

What should you multiply the bottom equation by so the y value will be eliminated when you add?

y= 3x +18

y= -5x +6

-1

Practice Problems

100

Use the elimination method to find the solution to the system of equations:

5x + y = 11

-5x + 4y = 19

x = 1

y = 6

200

Use the elimination method to find the solution to the system of equations:

10x - 10y = 10

-5x + 20y =25

x = 3

y = 2

300

Use the elimination method to find the solution to the system of equations:

5x - 6y = 11

3x + 2y = 29

x = 7

y = 4

400

Use the elimination method to find the solution to the system of equations:

2x + 2y = 22

-4x + 10y = -2

x = 8

y = 3

500

Use the elimination method to find the solution to the system of equations:

8x + 5y = 26

-8x + 10x = -4

x = 2

y = 2

Miscellaneous

100

2x-3y =0

-4x +2y = -8 

Find x if y=2. 

x=3

200

2x+3y=9

x+4y=2

Is (6,-1) a solution to the system above? 

Yes 

300

When solving, if you get an answer that looks like: 

2 = 2

What is the solution? 

infinite solutions 

400

Rearrange the equation into standard form: 

-2x = -3y+16

-2x+3y = 16 

OR

2x-3y = -16

500

Rearrange the equation into standard form: 

y=2x-14 

-2x+y= -14 

OR 

2x-y = 14