Solving Linear Equations Algebraically

When solving a system algebraically, which expression indicates there are infinite solutions?

Tags

CCSS.8.EE.C.8B

Is (-1, 1) a solution to the system:

x + y = 0

3x - 3y = 0

• Yes, (-1, 1) is the solution

• No, (-1, 1) is not a solution

At which point do the graphs of 2x = y + 5 and 6x + 2y = -5 intersect?

• (2, -4)

• (-4, 1)

• (1/2, -4)

• (-3/2, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations show:

Tags

CCSS.8.EE.C.8B

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
3x − 2y = 7 
y = 2x − 7 

• No solution 

•  (7, 7)  

•  (−7, −7)  

•  (−7, −3)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

• (11, 21)

• (3, 11)

• (11, -67)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system? 

• (3,1)

• No solution

• Infinite solutions

• (1,3)

Tags

CCSS.8.EE.C.8B

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)

• (-8, 0)

• (-16, -8)

• (-16, -8)

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