Systems of Equations Elimination

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Which system of equations represents the given graph?

What could be the first step in solving this system using ELIMINATION?

• Add the two equations.

• Add 4 to both side sof the equations.

• Multiply the second equation by -1.

• Multiply the second equation by 2.

Solve the system by elminiation:

4x + 8y = 20

-4x + 2y = -30

Say you wanted to eliminate x from the system shown. How would you do it?

• Add the equations without doing any multiplication.

• Multiply the first equation by 2 and the second equation by 3, then add the equations.

• Multiply the first equation by negative 2 and the second equation by 3, then add the equations.

• Multiply the first equation by 3 and the second equation by negative 2, then add the equations.

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve the system using elimination.

Solve the system of equations using the elimination method: 3x + 2y - z = 6 2x - y + 3z = 4 4x + 3y + 2z = 9

• x = 4/5, y = 2, z = -3/5

• x = 0, y = 0, z = 0

• x = -2/3, y = 1/2, z = 1/4

• x = 1, y = 3, z = 2

Find the solution to the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3

• x = 2, y = -1, z = 1

• x = -2, y = 1, z = -1

• x = 1, y = 2, z = -1

• x = 3, y = -2, z = 2

Solve the system using elimination.