Solve Systems of Equations by Elimination

Solve by elimination
-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

Solve the system by elimination.  

12x + 36y = −3 
−12x − 36y = 0 

• (10, 1) 

• (−10, −1) 

•  (10, −1) 

•  No solution 

Tags

CCSS.8.EE.C.8B

Solve by elimination.

6x - y = 2

-3x - 6y = 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

Tags

CCSS.8.EE.C.8B

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution

• ARN

• (-3,3)

• (3,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

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

Solve the system by elimination.
−8x − 10y = 20
−8x − 6y = −4

• Infinite number of solutions  

• (6, 5) 

• (−6, −5) 

• (5, −6) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-4x-2y=-12
4x+8y=-24

• (5,6)

• (6,-6)

• (6,-2)

• (4,-3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using the elimination method, what is the first step to eliminate one variable?

• Multiply one or both equations by a constant

• Subtract one equation from the other

• Divide one equation by a constant

• Add one equation to the other

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3