Linear Systems Elimination

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Solve the system by elimination.  

−7x + 6y = 29
10x + y = 16 

• (1,6) 

• (−1,−3) 

•  (−3, −1) 

• (−1, 3) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-3, 2)

• (3, 2)

• (-2, 3)

• (2, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

Tags

CCSS.8.EE.C.8A

Solve the system

2m + 3n = 6

-m + 2n = 5

• n = 2

• ( 2, -1 )

• ( 2 , 1 )

• ( -1, 2 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

x - y=11

2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-6x+5y=1
6x+4y=-10

• (1,-1)

• (0,-1)

• (1,1)

• (-1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3x  - 3y = 33
6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
7x-9y=29

7x+2y=-15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6