Systems of Equations by Elimination

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

−4x − 4y = 0

4x + 4y = 0

• (−6, −4)

• Infinite number of solutions

• No Solution

• (6, 4)

• (0,0)

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 the system using elimination.

Which of the following could be a correct first step in solving the system shown? Select all that apply.

• Multiply the first equation by 2, then add the result to the third equation.

• Multiply the second equation by 2, then add the result to the third equation.

• Add the first and second equation.

• Add the first and third equation.

• Add the second and third equation.

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

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

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11