Solving Systems of Equations by Elimination

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution
• ARN
• (-3,3)
• (3,3)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve by elimination:
-x+2y=17

2x+2y=-10

• ARN
• (-9,4)
• (-9,-4)
• (9,-4)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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

• (0,1) 
• (1,0)
• (1,1)
• (2,1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve the system using Multiplication. 
2x + 3y = 12
5x - y = 13

• x = -3, y = -2
• x = 1.5, y = 2
• x = 6, y = 0
• x = 3, y = 2

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve the system by multiplication.
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

A ________________ are two or more equations that have the same variables and work together.

• graphing lines

• elimination method

• system of equations

• table

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C