Apply System of Equations

• 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

Given the following system check ALL that apply:

• 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

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

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

-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)

• 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

• 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

You decide to solve the below system of equations using elimination and first want to eliminate the x variable. Which option below would be the best first step? -4x+9y=-17 3x-4y=10

• Multiply the first equation by 4 and the second equation by 9.

• Multiply the first equation by -3 and the second equation by 4.

• Multiply the first equation by 3 and the second equation by -4.

• Multiply the first equation by 3 and the second equation by 4.

Which of the following situations would result in no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Which of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines