Solving Systems of Equations by Elimination

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination. 
 4x + 8y =  20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
  2x + 9y = -7
6x - 3y = 9 

• (-1, -1) 
• (2,-1)
• (1,1)
• (1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

 Solve using elimination.
 7x + 2y = 24
  8x + 2y = 30

• (6,-9)
• (-9,6)
• No solution
• Infinite number of solutions

Tags

CCSS.8.EE.C.8B

If two lines are parallel, how many solutions do they have?

• 1
• 2
• infinite
• none

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

• No solution
• Infinite number of solutions
• (-3,3)
• (3,3)

Tags

CCSS.8.EE.C.8B

Solve the system by elimination.
      4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 
• (−10, −1) 
•  (10, −1) 
•  No solution 

Tags

CCSS.8.EE.C.8B

Solve the system by elimination.
  5x + 8y = -12
3x + 5y = -7

• (1, -10)
• No solution
• (-4, 1)
• (1, 10)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

• (5, 1)

• (1, 5)

• (5, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6