Solving Systems of Equations Using Elimination

Solve using Elimination.

• (0,0)

• (-8,-8)

• (-8,0)

• (0,-8)

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

What is the main goal of the elimination method in solving systems of equations?

• To multiply or divide the equations to eliminate both variables.

• To add or subtract the equations to eliminate both variables.

• To eliminate one variable and solve for the remaining variable.

• To substitute one variable and solve for the remaining variable.

What happens when adding or subtracting the equations in the elimination method?

• The goal is to eliminate one variable by making the coefficients of that variable in both equations equal.

• The goal is to eliminate both variables by making the coefficients of both variables in both equations equal.

• The goal is to subtract one equation from the other to create a new equation.

• The goal is to add the equations together to create a new equation.

What is the final step in the elimination method?

• Substitute the found value back into one of the original equations to solve for the other variable.

• Divide one of the equations by a constant.

• Multiply one of the equations by a constant.

• Add the two equations together.

Solve the following system of equations using the elimination method: 2x + 3y = 8 4x - 3y = 10

• x = 3

  y = 2/3

• x = 2

  y = 3

• x = 4

  y = -3

• x = 2

  y = -4/3

Solve the following system of equations using the elimination method:

3x - 2y = 8

5x + 4y = 6

• x = -2

  y = -6

• x = 5

  y = 4

• x = 2

  y = -1

• x = 3

  y = -2

Solve the following system of equations using the elimination method:

2x + 5y = 9

3x - 5y = 1

• x = -8

  y = -5

• x = -8

  y = 5

• x = 2

  y = 1

• x = 1

  y = 2

Solve the following system of equations using the elimination method:

4x - 3y = 5

2x + 3y = 1

• x = 1

  y = 1/3

• x = -1

  y = -1/3

• x = 1

  y = -1/3

• x = 0

  y = 0

Solve the following system of equations using the elimination method:

3x + 2y = 9

3x - 3y = 4

• x = 11/3

  y = 1

• x = 7/3

  y = 1

• no solution

• x = 35/3

  y = -13