Solving Systems of Equations by Elimination with Multiplication

• x 

• y 

• either one, they are the same

• 4

• 2

• 1

• -2

• One

• Both

• None

• 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

• 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

• You dont multiply to eliminate variables

• You will multiply one equation

• You will multiply both equations

• No need to multiply

• 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

• 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