Gaussian Elimination Method

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)

5x - 4y = 11

5x + 4y = -14

which variable will be eliminated?

• x

• y

• none!!!!!!!

• both

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

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

solve the system

• No solution

• infinite solutions

• (0,0)

• (5,1)

• (5,0)

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 

• (0,0)

• infinite solutions 

• (4,0)

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

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