Elimination Method Steps

What is the next step after eliminating one variable in the elimination method?

• substitute the value of the eliminated variable into the other equation

• multiply the equation by a constant

• add the equation to another equation

• solve for the remaining variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When adding or subtracting equations in the elimination method, what should be done to ensure the system remains balanced?

• Make sure the coefficients of one variable are the same or opposite in both equations.

• Ignore the coefficients and add or subtract the variables directly.

• Multiply both equations by the same number to make the coefficients equal.

• Combine the variables in one equation and eliminate the other variable in the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which operation would allow elimination by either addition or subtraction? (check all that apply---take your time!)

• Double the bottom row

• Divide the top row by 2

• Multiply the bottom row by 4

• Multiply the top row by 4

• Multiply the top row by 2 and the bottom row by 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Using elimination method, what would the correct next step be? Not interested in the answer.

• 12x -2y = -16

• -2y = 24

• 12y = 24

• (-1,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Using elimination method, what would the correct next step be? Not interested in the answer.

• 3x = -3

• x - 6y = -24

• x = -3

• 3x = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system of equations using the elimination method:

• (-2, 1)

• no solutions

• (-2, 0)

• (-1, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step in the elimination method after eliminating all variables?

• Graph the equations to find the solution

• Multiply the equations by a common multiple

• Substitute the values back into the original equations

• Solve the resulting system of equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6