Solving Systems by Elimination and Subtraction

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

Solve the system

-4x - 2y = -12

4x + 8y = -24

• (6, 0)

• ( 6 , -6 )

• ( -6 , 6 )

• ( 3 , -3 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following using elimination.
-9x-4y=-20
5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

x + 5y = -27

2x + 5y = -24

• (3, 6)

• (-3, -6)

• (-3, -4)

• (3, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and solve for y
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 for x and solve for y
3x  - 3y = 33
x - y = 11

• no solution

• infinitely many solutions

• (11, 0)

• (-11, 22)

Tags

CCSS.8.EE.C.8B

When using elimination to solve this system, which operation should be used to eliminate the x?
4x + 3y = 24
4x - 6y = 18

• Addition

• Subtraction

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following using 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

What is the value of y when solving this system?
-2x + 8y = 13
-2x + 4y = 17

• -2

• 2

• -1

• 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
-x + 2y =  17
2x + 2y = -10

• (9,9)

• (-9,4)

• (-9,-4)

• (9,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6