Systems of Equations Elimination Multiplication

Given the system of equations, what variable would be the easiest to eliminate?

 $4x-2y=20$  

 $-8x-3y=16$  

• x 

• y 

• either one, they are the same

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Given the system of equations, what would I multiply the first equation by to eliminate the x variable?

 $4x-2y=20$  

 $-8x-3y=16$  

• 4

• 2

• 1

• -2

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Given the following system, how many equations would we have to change to eliminate a variable?

 $2x-3y=-6$  
 $-5x-9y=15$  

• One

• Both

• None

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Given the following system check ALL that would apply.

 $5x-3y=-28$  
 $4x+6y=-14$  

• The x variable would be easiest to eliminate

• The y variable would be easiest to eliminate

• We would multiply top equation by 2

• Would multiply the bottom equation by 2

• This system has no solution

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Given the following system check ALL that apply:
 $2x-3y=-6$  

 $-5x-9y=15$  

• The y variable would be easier to eliminate

• The x variable would be easier to eliminate

• Multiply the top equation by -2 to eliminate y

• Multiply the top equation by -2 to eliminate x

• The x coordinate for this system is x = -3

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

 $-6x-8y=-28$  

 $9x+5y=-4$  

To eliminate a variable on the given system would you multiply one equation or both?

• You dont multiply to eliminate variables

• You will multiply one equation

• You will multiply both equations

• No need to multiply

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

 $3x+6y=6$  
 $9x-12y=18$  
For the given system check ALL that are true.

• Multiply the top equation by -3 to eliminate x

• Multiply the top equation by 2 to eliminate y

• The solution to this system is (0,2)

• The y coordinate for this system is 0

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

 $-2x+4y=-6$  
 $-6x-2y=-4$  
For the given system check ALL that apply:

• Multiply the top equation by 3 to eliminate the x variable

• Multiply the top equation by 2 to eliminate the y variable

• The solution to this system is (1,-1)

• The solution to this system is (-1,1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

 $-3x-9y=-6$  
 $-8x-4y=24$  
For the given system check ALL that apply.

• Multiply the top equation by -4 to eliminate the y variable

• Multiply the top equation by 8 to eliminate the x variable

• Multiply the bottom equation by -4 to eliminate the x variable

• Multiply the  bottom equation by 8 to eliminate the y variable

• The system has an x coordinate of -4

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

 $-6x-8y=-28$  
 $9x+5y=-4$  
For the given system check ALL that apply

• Multiply the top equation by 3 to eliminate the x variable

• Multiply the top equation by 5 to eliminate the y variable

• Multiply the bottom equation by 2 to eliminate the x variable

• Multiply the bottom equation by 8 to eliminate the x variable

• This system has a y coordinate of -6

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6