Elimination Opposite Coefficients

Solve by elimination:

7x + y = -9

-3x - y = 5

• No solution

• (1,8)

• (-1,-3)

• (-1,-2)

Solve by elimination:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination:

-6x + 5y = 1

6x + 4y = -10

• (-1,⁷/₅)

• (0,-1)

• (1,1)

• (-1,-1)

Solve by elimination:

-9x - 4y = -20

5x + 4y = 4

• (-4, 4)

• (4, 4)

• (4, -4)

• (-4, -4)

Solve by elimination:

7x + y = -9

-6x - 2y = 10

• No solution

• (1,8)

• (-1,-3)

• (-1,-2)

Solve using elimination:

6x + 6y = -6

3x - 2y = 12

• (-4,3)

• (-3,2)

• (2,-3)

• (3,-4)

Which step could you do to get "opposite coefficients" so you can use the elimination method?

4x + 3y = 1

x - 5y = -11

• Multiply the entire 2nd equation by -4

• Multiply the entire 2nd equation by 3

• Multiply the entire 1st equation by -1

• Multiply the entire 1st equation by 5

Solve using elimination:

4x - 10y = 16

2x - 5y = 8

• (4,0)

• No Solution

• (0,0)

• Infinitely Many Solutions

Which two below are "opposite coefficients"?

• 2x and 2y

• -4x and -4x

• 7y and 0y

• 8x and -8x

Solve using elimination:

14x - 2y = 20

-7x + y = -14

• No Solution

• (4, 1)

• Infinitely Many Solutions

• (2, -4)