Solving systems of equations (Graphing, Sub, Elimination)

If a system of linear equations has one solution, what does this mean about the two lines?

• They are parallel lines

• They are the same line

• They are intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• They are intersecting lines

• They are the same line

• They are parallel lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has no solutions, what does this mean about the two lines?

• They are parallel lines

• They are the same line

• They are intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.8.EE.C.8A

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.8.EE.C.8A

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)
• (7, 1)
• (2, 9)
• (-1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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