Solving Systems of Equations (all methods)

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

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

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• (−6, −4) 
• Infinitely many solutions 
• (−6, 10) 
• No Solution 

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 with substitution

y = -x - 4

y = x - 2

• ( -1, -3 )

• No solution

• Infinitely many solutions

• ( 1, 3 )

Tags

CCSS.8.EE.C.8B

• (1, 4)

• (4, 1)

• (1, -4)

• (-4, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• (0,1) 
• (1,0)
• (1,1)
• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 3x
2x + y = 20

• (4, 8)
• (3, 9)
• (2, 6)
• (4, 12)

Tags

CCSS.HSA.REI.C.7

y = 5x 
3x - y = 10

• (-5, -25)
• (2, 10)
• (-2, -1)
• (5, 25)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6