Solving Systems of Equations Using Elimination

Which variable would be easiest to eliminate?

• x

• y

• Neither

When you solve the system of equations, what is the solution for y?

• 8

• -1

• 1

• -8

When you solve the system of equations, what is the solution for x?

• 4

• -1

• -4

• 1

• Add the x terms in the two equations and the y terms in the two equations so you get 3x + 8y = 11

• Multiply all terms in the top equation by 2 so that you  can eliminate the x terms

• Multiply the x in the first equation by -2 so you get -2x + y = 2

• Multiply all terms in the top equation by -2 so that you can eliminate the x terms. 

• (-2,2)

• (2,-2)

• (-2,-2)

• (-2, 1/2)

• -1

• 6

• 1

• -6

Which of the following is the correct solution to the system of linear equations?

• (6, 10/3)

• (6,5)

• (4,5)

• (4,-5)

Describe the error in solving the system of equations using elimination:

• They eliminated the x terms when they should have eliminated the y terms.

• The subtracted 5x and x to get 4x, but they should have added the x terms to get 6x = 24.

• They added 16 and 8 to get 24, but they should have subtracted them to get 8 on the right side of the equation.

• They eliminated the y terms, but they couldn't because one is a negative and one is a positive.

• Multiply the entire first equation by 2

• Multiply the entire first equation by -2

• Multiply the entire second equation by -1

• Multiple the entire first equation by 7

Solve the system

2m + 3n = 6

-m + 2n = 5

• n = 2

• ( 2, -1 )

• ( 2 , 1 )

• ( -1, 2 )