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

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.

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

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

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

• 12x -2y = -16

• -2y = 24

• 12y = 24

• (-1,2)

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

• 3x = -3

• x - 6y = -24

• x = -3

• 3x = 3

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

Solve the following system of equations using the elimination method:

• (-2, 1)

• no solutions

• (-2, 0)

• (-1, -3)

Solve using Elimination Method:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

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